DISCLAIMER: I do not own Hellsing or Marvel, the X-Men, the Avengers, or any of the numerous comics Wolverine has managed to appear in.

The door crept open slowly, causing a slight creak. To most people, it was inaudible, but to the sleeping Logan, it was quite loud. Logan slowly extended his Adamantium claws, ready to defend himself. He could hear gentle footsteps as someone approached his bed. They were small, and he guessed it was either a woman or a young male. As a light breeze entered through the window, the intruder's scent was blown to Logan's nose, and he sighed with relief.
"I almost skewered you, kid. Don't sneak up on me like that."
"Sorry, Logan. Wasn't sure you were asleep." Answered Rogue.

Logan retracted his claws and sat up. "What's up, kid?"
"Storm sent me to wake you. Cyclops was meant to do it, but I did it instead. I thought you might kill him then say it was an accident." She smiled as she said this.
Logan chuckled. "Really tempting, but I don't think so. I might kick his ass outta the room though."

Father Alexander Anderson stood among the remains of several mutants. He held a phone to his ear, while his other hand held three silver bayonets dripping with blood.
"Yes sir. The mutants have tried to kill me twice already. You didn't send me to kill small fry."
Maxwell's voice on the other end answered. "Of course, Anderson. These creatures are like cockroaches. They keep coming back, so the only way to kill them is to fumigate the nest. The one in charge of the local mutant operation is a man named Charles Xavier, and you can find him in the mansion, which we have just sent you the address for. He is a wheelchair-bound cripple, but he can control minds. Such an ability in the hands of an abomination is in itself an abomination to God. You are the instrument of divine judgement, Anderson. Divine punishment, with its righteous hammer shalt smite them. Amen."

Wolverine sat in the office of Charles Xavier.
"So, someone's killing mutants in the area?"
"This is no military operation, Logan. These mutants were killed with blades, apart from one, who was broken apart with bare hands. They were found filled with blades, cut to pieces, and two were even found crucified. We are dealing with a very sadistic killer."
Logan sighed, chewing on a cigar he had forgotten to light. "So you want me to kill this sick son of a bitch."
"So you can go thirty seconds without cursing. New record." Said Cyclops.
"Two mutants were crucified and decapitated less than a day ago, Scott. This is no joke." Said Charles.

Anderson saw the mansion. It was large, but it was nothing compared to the Vatican.
"As always with the devil's works. Large, but insignificant compared to those of the Lord."
Anderson punched the door off its hinges, and stormed into the mansion.

Charles stiffened, and after a few seconds, Logan heard a breaking sound from downstairs. Logan jumped up and ran to the door, shoving Scott aside easily and running towards the disturbance.

Anderson pushed a child aside. "Stay aside, child. And tell the other children to do the same. The unholy monsters who run this place must die, but children can be saved in the good care of the church, species notwithstanding. If Maxwell 'as a problem with me lettin' children live, 'e can honestly kiss my arse, because I answer to God before I answer to Maxwell."
The terrified child ran away, just as Logan appeared, Rogue close behind. The child ran to Rogue, hugging her.
"Take him to the professor, kid. And get all the other children to the professor as well. He can protect them if this shithead gets past me."
Rogue nodded. "Okay, Logan, but promise me something. Stop him, and don't get hurt."
As Rogue took the child away, Logan smiled. "She's a sweet kid. As if this douchebag could hurt me."

Anderson watched this exchange, and smiled slightly. "We are the servants of God, and the hammer that smites the unworthy. We are apostles, yet not apostles. We are the soldiers of Iscariot, we are Judas Iscariot!"
Logan chuckled. "Shut up. Out of all the disciples, why commit to the only evil one?"
Anderson smirked, his aggression mounting. "How little you know of the truth, mutant scum."
Wolverine shrugged, extending his claws. "I don't know if I believe in God, but I'm pretty sure he wouldn't condone you attacking children."
Anderson slowly readied a bayonet, still smirking. "Don't you dare presume to speak to me about God's will!"

Anderson suddenly flung a series of bayonets at Wolverine, filling him with them and leaving him bristling with bayonets. Wolverine fell backwards, sighing.
"Blessed silver severely harms the impure. Time to die, you monster."
Wolverine casually stood up, using his claws to cut the handles from all the bayonets, then flexing his muscles, his healing forcing the blades out of his body.
"What was that? I think I dozed off."

Anderson charged at Logan, picking him up and running to the back of the ground floor, slamming Logan into the wall, leaving an indent in it. Logan swept his claws across Anderson's face, and Anderson jumped back, before suddenly flashing forward and punching Logan, smashing the wall behind Logan and launching him through it. Logan stood up on the other side, cracking his neck.
"Nice wall renovation, dude. I never liked that wallpaper anyway."

Logan observed that Anderson's face had healed.
Another regenerator. So why did he get so scared when I cut him?
Anderson suddenly dashed forward, swinging two bayonets at Logan. Logan was unable to block the bayonets, and the blades hit him, cutting him deeply and leaving blood everywhere, but each bayonet shattered when it hit his skeleton. Wolverine attacked with his claws, but Anderson easily avoided the strike, before gripping Logan by the shoulder and forcing him against the wall, sticking two bayonets through his hands and into the wall, the blades slipping between the bones in his hands.

Anderson raised more bayonets, rapidly slamming several of them through Wolverine's ribcage, slipping the blades between his ribs. Anderson then raised two more blades.
"You are nae Alucard. You can nae survive havin' yer head slashed off!"
Anderson swung the bayonets at Wolverine's neck from both sides. He started with horror as the blades broke the skin, but broke on the neck bone. Anderson rapidly gripped Wolverine, trying to manually tear his head off.
"Die! Ya ungodly scum!"

As Anderson had started trying to tear his head off, Logan was piecing things together, remembering things Anderson had said.
He said I was no… Alucard, that I couldn't survive my head bein' taken off… He also jumped back when I started cuttin' him with my claws when he had me by the neck… That's it! I can cut him with my claws, and his regeneration ain't gonna save him from decapitation!

Logan pulled his hands free, ignoring the pain as the bayonets cut his hands in half. Logan extended his claws, ignoring the extra pain when the claws cut through most of his damaged hand. Logan then promptly slashed straight through the neck of the distracted, surprised Anderson. Anderson dropped to the floor, his head hanging from a shred of skin. Wolverine, still stuck to the wall, threw one of Anderson's bayonets which had been through his left hand at Anderson's head, separating it from his body completely. As Anderson watched his body become distant, he was able to think one thing before he faded from consciousness.
The children are playing… Amen.

Rogue returned, seeing Anderson dead. She then turned to Logan, who was still nailed to the wall with several dozen bayonets.
"Are you okay, Logan?"
Logan laughed. "I'm fine, kid, only problem is, that bastard was tall like Colossus, and I'm a short-ass, so I can't get down. He lifted me up to his own eye level. Don't suppose you could bring in a crane to get me down? Or Colossus, he'll do."
Rogue smiled, while Logan continued laughing, both of them pleased that the threat was over.

Analysis:

This one was very two sided. There is no denying Anderson has a huge advantage in physical power and speed, being able to contend with Alucard, which is why him easily throwing Logan around makes perfect sense, but despite that, Anderson is at a disadvantage in terms of landing a finishing blow. His bayonets are shown to break when Integra shoots them with a large pistol, so they are nowhere near as solid as Logan's claws or skeleton.

In the end, the only way Anderson could conceivably land a killing blow is by physically removing Wolverine's head, which it's doubtful he can do at all, and certainly not easily. Logan will have great difficulty, since he is physically outclassed by a very significant margin, but once he lands a good blow with the claws, it's over, since base Anderson's regeneration is neither total like Alucard's or adaptive like Wolverine's.