Do not remove the vesa driver!!
This will make it impossible for you to do anything in case of a crisis where the normal video driver does not work.
You only use the vesa driver if it says so in /etc/X11/xorg.conf (In section "Device" you have Driver "vesa") Normally it should be some variation of intel for intel video
Imho there is no need to disable compiz when playing 3D games.
This is completely untrue!!
be no need, but unfortunately Compiz is not all that stable and the first thing you do if you have problems with 3D games is to turn off Compiz (it may not help but it mostly helps)
Please don't give advice if you don't know what you are talking about!
Edit by Husse
I now saw that this guy also claims that Mint uses the vesa driver instead of the intel one
The vesa driver might be used as a fallback if something is wrong