http://bugs.winehq.org/show_bug.cgi?id=11147
--- Comment #13 from Vitaliy Margolen vitaliy@kievinfo.com 2008-05-03 22:54:00 --- Still works here okish - video suck and fps too low to test much. DInput doesn't care about screen resolution so doubt the problem is that. Most likely the "broken" system does something wrong with mouse events. Or something else in the background interferes.
Try setting mouse acceleration to 1 with 'xset m 1'.