Unless you want to have whammy bar effects, screw the damn floating bridge down (simply open up the back and increase the tension on the springs). Then decrease the action (action is the distance of strings to the fretboard) till you can play it without he strings vibrating against the frets that you're not playing, for example, when you play the third fret, make sure that the string does not touch the 4th fret in any way.

Finally, adjust the string length to such a way that the 12th fret natural harmonic is the same as a fretted 12th note.

Once that's done, have fun shredding away!