The screws should not be "too short", they should be just barely long enough to start threading in with minimal force if you start all four before tightening. The screws' springs pick up the screw slack, don't worry about excessive force unless the springs bottom out.
You should not be able to over-tighten since there are only something like 15 turns worth of fine threads on the screw tips. Once the threads bottom out, that's it, can't go any tighter.