Oh wow, this definitely solves the gear problem I've been having in MR1. Thanks a lot for the exe.
You uninstalled the game prior to installing the fixed version, yeah?
The GOG installer will not overwrite an already existing file, so if you just installed on top of the already installed game, the fix will not have made it.
EDIT: Disregard the above.
You could try replacing the game.exe with the one contained herein: http://81red.dk/mr.zip
That one seems to fix the gears problems mentioned elsewhere, and it would be nice to know whether it fixes your problem too.