I wouldn't touch it!!
If, as you say, it is simple plate it has all manner of internal sresses from the original rolling process that made it. As soon as you skim a bit off the surface you start to relieve these stresses and the plate is likely to warp in all manner of unpredictable ways.
In your place I would get a piece of 3/4" aluminum tooling plate (MIC6). Tap the existing plate around the perimeter spaced about every 10inches and tap a 10" grid pattern; 5/16" NC would probably be a good enough size. Bolt the MIC6 down tightly with bolts recessed 1/8" below the surface and then check the surface for flatness.
No matter what you do it is highly unlikely you will ever get a surface flatter than +/-0.0005" per foot and very likely your requirements don't even need it this good. If it is not good enough for your requirements take a very light facing cut over the whole surface with a fly cutter.
An open mind is a virtue...so long as all the common sense has not leaked out.