quake1 is a bit faster.
you need to switch on mouselook in quake configuration (both for quake1 and quake2)
just open quake console and type +mlook
I noticed that when running quake1 the mouse is a bit laggy. When I decreased resolution a little (which improved framerate) the mouse behaved much better. It seems that when cpu is bogged down with rendering, either X server or kernel do not get enogh cycles to receive mouse events.