MIMF

The headstock fiberboard overlay is warped and the logo is mostly worn off.
I can get a putty knife under part of it.
What is a good way to remove the overlay?
I am not interested in repairing it a I will be replacing it.

If you have no intention of saving the overlay:

Set up 2 guide-rails that run in the same plane as the headstock.
Then use a router to shave it off in a few passes.

This is technique that also works for removing fingerboards.

I'd just heat it up and remove it with a flat knife or scraper. A heat gun will work, and even a clothes iron will work, just be careful and get it no hotter than you need to- keep checking. If you want to save the finish on the other surfaces of the peghead then heat will damage it quickly so be careful.