Jazzmaster bridge breaking strings

[rf7]

This Jazzmaster has a Mustang bridge on it and the 1st string actually contacts the bridge by the intonation screw and is breaking there. How do I correct that? Should I shim the neck higher, so that I have to lower the action at the bridge? Or else, I thought about putting a teflon sleeve over the string where it contacts the bridge, but maybe the string would cut right through it. I've never seen this problem before.

Any help would be appreciated.

[David Schwab]

Can you turn the bridge around so the screws are facing the neck?

I think that's how they are on my Mustang.

[rf7]

It turns out the strings were actually breaking at the tuning peg. Aargh! That's what happens when you don't get to talk to the owner of the guitar.