I have Crysis and Crysis Warhead from Steam and both of them work with Wine 1.3.35 (of course with DOUBLEBUFFER patch). I don't have problems with keyboard input or turning around 360 degrees with mouse. Maybe you have some registry keys that are in conflict with this new Wine. I remember that Crysis required those in the older versions like 1.3.21 (it definitely was MouseWarpOverride set to force).
