Look, love him or hate him, there's a few things about Rex Ryan:
1. He's a good/great (not all-time great) coach. This isn't news. Trent Dilfer is a Superbowl champion because of his defenses. And let's not pretend his mentorship/system didn't contribute to how great a player Ray Lewis became. (I'm talking on-field here, obviously.) The Jets are also winning games. Their defense is still the best in NFL too. And they're winning tough games. If that was the Pats winning all those close games we'd be saying "that's what the great teams do" but since it's them we're saying "they're not really elite." Look I HATE the jest and by extension I have to hate their coach. But that's sports hate and I don't let it cloud my vision to the fact he's doing a good job.
2. The trash talk is his style just like being abrasive with the media is BB's. They're both valid, and both styles anger as many people as it does endear them. Yin/Yang. Both styles translate to the team too. The Jets play with a TON of confidence. We play with GREAT execution. Both are ways to win.
I mean, let's put this in perspective. Is he REALLY harder to deal with than Mangini? How about Dungy? I hated seeing Parcells on the sideline a LOT more than Ryan-- especially because I felt like he stole Curtis Martin from us. And at that point in time, I thought our franchise would be doomed for decades. (Pete Caroll era still haunts me.)
By all means be annoyed if bravado just bothers you in general. And feel free to hate on a Jest coach because he's part of the Jest. But I can't recall the last time someone had a REAL criticism of the guy other than that he's loud and fat. And if that reflection in the mirror I'm seeing is accurate, the same could be said about me too. So maybe that's why I can see beyond it better than some others. But give the guy his props as a coach. He IS a good football coach. (I think he's a better coach than his dad and brother too.)