Yeah, it's a good idea to let fighters do special combat moves more often/better/more efficiently/more awesomely than anyone else. It's very good. I wouldn't be surprised if 5e does something quite similar.
I don't, however, think a fighter dealing buckets of damage instead of/in addition to that is a problem. Combat role niche protection shouldn't be that important, and everyone should be able to be a striker (or whatever) when they need to be.
But that's sort of a tangential thing. The core of your idea is solid, and I hope they implement something similar. I honestly wouldn't even have a problem with Trip, Disarm, etc. not being standard combat options, but instead being fighter-specific options. Your wizard cannot effectively Sunder, forex, unless he trains as a fighter.