I think "hate" is too strong a word, but I think something like this is probably true. Belichick is not supposed to be friends with these guys, he's the head coach. They may not have warm and fuzzy feelings for him, but I can guarantee you they respect him.
This might already have been posted, but here was the SI players poll a few weeks back on which coaches were the hardest/easiest on their players.
Hardest:
Bill Parcells, Cowboys.....34%
Tom Coughlin, Giants.....30%
Nick Saban, Dolphins.....11%
Bill Belichick, Patriots.....9%
Marty Schottenheimer, Chiefs.....2%
Bill Cowher, Steelers.....2%
Jon Gruden, Bucs.....2%
Rod Marinelli, Lions.....2%
Eric Mangini, Jets.....2%
John Fox, Panthers.....1%
Easiest:
Tony Dungy, Colts.....28%
Herm Edwards, Chiefs.....13%
Brian Billick, Ravens.....11%
Dennis Green, Cardinals.....6%
Mike Shanahan, Broncos.....6%
Jim Mora Jr., Falcons.....4%
Lovie Smith, Bears.....3%
**** Jauron, Bills.....3%
Jon Gruden, Bucs.....2%
Andy Reid, Eagles.....2%