Nah, I don't want to dress up the back because its going to be solid anyways. I could just make the back plate non-recessed but I don't like that look.
If you cut the block by hand, would it not be uneven? I guess that the trem can have the block removed for easier modification? From your post, It sounds like you remove the block from the plate, cut on the plate side of the block and re-install but hopefully, the screws can still go in full depth.
I'd be taking off maybe 1/16", 3/32" at the most.