They never hated each other. Things would be easier if they did.
Lee never hated Sam. Seriously, how could anyone hate Sam? Sam was the definition of the ultimate good guy. It was easy to understand why he was such a big star back on Caprica, the man was the most charismatic person Lee ever met. And then the worlds ended and he didn't even behave like any proper celebrity would and died. He went on ahead and formed a resistance against the *cylons* with a handful of civilians armed with hand guns, sticks and stones. That alone earned the man some respect. Then New Caprica came and he did it again. And he was good to Kara. He loved Kara, which Lee could easily identify with, but, most of all, he was good to Kara. Kara shared herself with Sam in a way she never shared herself with anyone else - not himself, not Zak, not Helo, nobody. The only reason he ever found out about Kara's mother abuses were because of her medical files once he became her superior officer. She never told him. Not about that, not about Leoben and the doll house. Not about anything, really. But she had told Sam. Everything. Sam was good to Kara. Lee could never hate Sam.
Sam never hated Lee. Lee was an honest-to-Gods hero. He saved Sam and everyone's lives more times than they probably knew about. Lee and his crazy-ass maneuver to throw the Pegasus against three basestars was the sole reason anyone ever got out of that hell hole that was New Caprica. Sam could never hate the guy that got him and Kara out of that place. Not only that, but Sam was a pretty good judge of character and Lee was a good man. It was not his fault he fell in love with Kara. He could identify with anyone that did. And he couldn't blame the guy for his relationship with her, either. Sam knew they had history, a lot of history. They were friends, almost family, maybe more, from before the end of the worlds. They were all each other had from that life. Sam could not imagine how it would feel to have any, *any*, of his previous friends with him this far. Sam could never hate Lee.
Dee never hated Kara. Kara was a force of nature. Kara was the first pilot to ever ask Dee if she wanted to join a triad game on the pilots' rec room and she was the one that kept repeating the invitation until she felt welcomed enough to show up on her own. Dee remembered those first few weeks when she started hanging out with the pilots, how she and Kara would be the only two girls on the room, sharing drinks, laughing and gambling until Tigh decided it was rack time. Dee had always liked Kara and enjoyed her company. And from the moment Lee stepped foot on Galactica, Dee was very much aware he and Kara had feelings for each other. She handled the Comm. after all. She heard all their wireless conversations, all the banter, all the sexual tension. She heard the desperation on his voice when the Blackbird disappeared and he thought his Starbuck was gone. Dee knew all of this before hand, knew where she getting herself into. She could never blame them. Dee could never hate Kara.
Kara never hated Dee. How could she hate the owner of the blessed voice that called her home during a fire fight? The voice that guided her bird in the blackness of space? She always liked Dee. So much, she was the one that insisted on inviting her to pilots' rec room until they all felt she was a part of the squadron. And before the end and all the deaths had gotten to her heart, Dee was so much fun. She could laugh and joke and drink with the most resilient of them. She remember the day of the decommissioning ceremony, Dee giving hell to poor Billy, completely lost on the G on his first day. And Kara understood why Dee fell so hard for Lee. She was surprised more people didn't on a regular basis. Lee was perfect. And so was Dee, really, with her feminine beauty and her grace. They were perfect for each other. Kara could never hate Dee.
They never hated each other. Things would be easier if they did.