Heh. I missed the plexiglass part.
Plexyglass is acryllic, which softens at around 100 deg C. Provided that your cooling system is working well, you should not be exceeding these temparatures, however, that's still closer than I'd like to cut it myself.
Polycarbonate is tougher, and requires a lot higher temps to soften.
However, the nice thing about acryllic is that it's easy to manipulate. Taking a butane or propane torch, you can run that in circles around the mogul mount, until it softens just enough to allow you to move the mogul mount outwards by your 1/8". This will allow you to bring the lamp to center.
Failing that, take a look at my 10.6" PLOG, the lamp that I'm using won't hvae those issues.