Strat bridges can be setup a wide variety of ways to offer different playing abilities... For instance, a strat with a brdige that is flush to the body will offer the most tuning stability but will render the trem unusable. The most common strat trem setup is what's called a floating trem setup... This is where the bridge is slightly off the body of the guitar. This setup offers full range of diving (lowering notes with the trem) and about a whole step of rasing the notes with the trem. Yours is waaaaaaaaaaaaaaay out of whack. There shouldn't be more than maybe a quarter of an inch between the brdige and the body.
If you don't have all 5 trem springs installed I suggest installing them all... This will counterbalance the string tension and lower your bridge back down a considerable amount.
After you try this let me know what happens... I also recommend getting a book called "The Guitar Player Repair Guide" by Dan Erlewine.... He's invented most of the modern techniques and tools for working on guitars and its a great resource to have laying around... It should be required reading for every guitar player.
Good Luck man, and let me know.