I never got the sense that the crew didn't like her. She socialized fine with the crew plenty such as Worf's Age of Ascension, Riker's poker games, Riker's breakfast, the Sherlock Holmes holodeck simulation, Data's farewell in Ten Forward, ect. The only real conflict was with Picard, but that had more on how they approached work differently than anything else and it made for some really good interaction between Muldaur and Stewart.
As for her not liking Data, I find that statement to be false. Of course, many Trekkies for whatever reason like to pretend she was mean to Data the whole season and hold onto that perception just because the first two episodes had her treat Data more like a machine and less as a person. I actually thought it was nice for once to have a character not embrace Data as a person at first. The way it was written in the first two episodes, I will admit was clumsy with the whole "Dah-ta" thing, which was thankfully dropped early. Naturally, she would have to warm up to him otherwise having her treat him like a machine throughout the whole season would have shown she's incapable of growing. I think the best way the writers handled it was in "Elementary, Dear Data", where she's harsh on Data's attempt at humanity not just to be mean but as a way to encourage him to rise above his programing. After that episode it should be obvious that she was beginning to respect Data, like in the episode "Unnatural Selection" where they work together.
DATA: I am sorry I could not be more helpful, Doctor Pulaski.
PULASKI: You did everything you could, Commander. As androids go, you're in a class by yourself.
Then there's the extended version of "The Measure of a Man" that revealed a moment where she entourages him to make his own life after resigning Starfleet.
As for how I feel about the character herself, I always liked her and thought it was a shame she left after one season. I found her to be much more interesting and warm as a person than Dr. Crusher. I always felt TNG should have had much stronger female characters consistently. Yar was already killed off and before that was unfortunately underused. Ensign Ro was one of the best additions of TNG, and it was even more unfortunate that she wasn't around that much. She should have easily been a new main cast member that added something new to the dynamic than just be a recurring guest that only appeared in 8 episodes. Pulaski was something like that for the second season, but it's too bad Muldaur quit too.