What's the action like at the moment? The bridge should be adjusted to get the strings the correct height above the frets (of course, the trussrod & saddles play a part in this too)
Just winding the bridge down so that it looks OK on the body might bring the strings right down onto the frets & give you problems with buzzing or if it's as much as you imply even make the guitar unplayable....
Also, is it the vintage 6 hole trem or the modern 2-post trem?