Re: No respect
I'm not seeing any mockery, either. No one is gushing with sympathy or presenting a panacea to cure the OP's dojo's ills, but that's not the same as mockery.
The only helpful think that I can think of, that hasn't already been stated, is that the new dojo 2nd sounds completely unaware that the kohai of the dojo don't like him, and probably wouldn't continue to attend classes if he were to throw a successful coup. I wonder if his behavior would change if he were made aware of this.