I wouldn't recommend having a non-neutral neck position while squatting. If you want a cue like that, look up with your eyes rather than tilting your head.
As far as other stuff that might help, not to pull an FFQuads, but what are you wearing (all you said was "wrong type of shoe")?

On your feet, that is.

For squatting (and pretty much any other lift that's not performed on a bench), you want a shoe that doesn't have a lot of cushioning that will make you unstable. There was recently a thread on this, the gist of which was that most running shoes and cross-trainers are bad, while things like wrestling, indoor soccer, and of course Olympic lifting shoes are good.