The classes worry me, i mean there is a wallhack in that trailer. Balancing classes for duel isn't going to work well and doom MP is terrible, i'm not convinced the devs know what they are doing. This also is happening way too soon for id to develop it themselves.
On the plus side doom SP was surprisingly good and they've confirmed strafejumping. If there will be mod tools the basis should be good enough to turn this into something decent.
It's unlikely to be like Overwatch. Quake 3 CPMA had a mode called NTF (Not Team Fortress) which was a class based version of CTF and that worked quite well. I wouldn't consider NTF better than the 'standard' gamemodes though.