I think this is a pretty good idea, to be honest. I've thought about it myself, but I knew people would say "OH, IT'S GONNA GLITCH, I DON'T KNOW ANYTHING ABOUT PROGRAMMING!". Toribash often has glitches. Like, not disqualifying because of lag, ghosting through limbs or the ghost showing something different than what's going to happen. I don't think a hat sitting a bit tilted would hurt anything.
It's like when anyone suggests something for the forum, then people say it's going to be abused, no matter what.
If you don't want the hair to glitch with it, don't wear both. Why would you wear a hat over your hair anyways..
Would look cool, and would be even cooler if a hard knock to the head could make it fall off.
Definitely supported.