OP, as much as I sympathize with your problem (retarded DMs are retarded), this is not a mechanics-related issue. It's a people-related issue. Your DM is being a douche about something, and is adamant in staying douchy where this something is concerned. People do that all the time, and the only thing you can really do about it is live with it.
Your boss keeps complaining about the number of hardcopy printouts you make, but conveniently neglects to see how many work-related xeroxes you pay out of your own purse. Your mom insists on spending more time with your baby kid than you can yourself, due to your workload. Your best friend talks smack about you behind your back "without meaning to", and keeps saying he's "sorry he got misunderstood". A poster at ENWorld persists in not understanding the mechanics of D&D, even though you told him a hundred times.
People are like that. That doesn't mean they're bad persons, of course. People can get on your nerves and still be your friends. If you still like them, like to hang with them, and like to play their game, you best adapt. You won't change their opinion - it's hard to change another person's view, and "evidence" collected on an internet forum won't do the trick most of the time.
So my advice to you is the following: go talk to him. Tell him how you don't see Monks as unbalanced. Tell him you'd like to play one, and how the game will not be as fun for you if you can't do that. Tell him how the game is supposed to be fun for everybody, and how the DM's job is to make that happen. Ask him to let you play a Monk and not saddle you with restrictions that would destroy your fun. If he replies that he doesn't want you to break the game, tell him it's not your intent at all, and that you believe you'll be able to play a Monk without breaking the game. Ask him to tell you whenever your Monk threatens his and everybody else's fun.
If he lets you play a Monk, play one. Demonstrate to everybody how Monks aren't as problematic as they think they are. If he doesn't let you play a Monk, play something else, but remind him from time to time that it was you who made a concession to keep the game going and fun. Expect respectful treatment, and a certain readiness to let you have fun, as well.