Is there a reason you went straight to the neck tilt?
If you go to Fender's website (
http://fender.com/support/manuals/instr_owners.php ), you can download the setup guide for all fender guitars. It's pretty good actually. And if you follow their procedure, I think you'll find neck tilt is not the first step.
It might require just a hair bit of tightening of your trussrod or maybe even a simple saddle height tweak... Heck, it might be that you have the pickups too high and they are pulling on the strings, belive it or not, it does happen... it happened on my buddy's tele.