If your horse is misbehaving with the saddle on-GET OFF.  Why put your life at risk for something that can be taken care of safely?  A bucking, rearing, shying, bolting psycho is a horse that hasn’t learned all of the lessons it should have learned on the ground.  My horse Tarik is bucking slightly under saddle.  Instead of riding-it-out-of-him, I am going back to the basics.  Obviously I missed something.  Now of course there’s times when it’s just a minor issue and you can continue riding.  But if the behavior doesn’t stop, then go back to the ground.

Parelli has a great article here