Err... options to turn off double-click minimization have been around since 10.0.0. They're in General preferences. Also, no double-click interval should be short enough to treat a drag as a double-click, so I suspect there might be something else going on here. You say it consistently does it when dragging windows; how about dragging icons on your desktop? Does it launch the program as you try to drag it, or does that work?
Also, don't rule out the possibility that it might be something physically messed up about the mouse; try really pressing the button down hard as you drag and see if that fixes the problem (if so, go get a new mouse).