Re: about the neck on my LP...
Sean, the problem isn't your bridge, it's most likely a case of too much back bow. For a guitar to play properly the fretboard has to be flat or just slightly bowed forward to allow for the strings to vibrate freely. Sometimes changes in temp and humidity cause necks to move around a little, especially mahogany necks.
You can check this by fretting the 6th string at the first and last frets. If you can't see a very tiny gap between the string and the frets around the 9th fret, then you need to adjust the truss rod.
In your case you need to loosen the truss rod. Most Gibby LPs come with a truss rod wrench, but if you dont have one a 1/4" drive 5/16th socket will do. The wrench that comes with the guitar looks like a small socket attached to a screwdriver.
Remove the plate at the bottom of the headstock and you will see a 5/16" brass acorn nut. You want to loosen that nut but turning it counterclockwise until you get a small gap between the strings and the 9th fret when the strings are fretted at the 1at and 22nd fret.
After the neck is properly adjusted you can lower the bridge until you have a 1/16th or so gap at the 12th fret with nothing fretted. Unfortunately with all that movement you'll most likely have to intonate the bridge saddles, but thats another post.