Ahh, I see. What you are planning is not what I originally thought.
Do you know what the plastic sheets are made from? Is it acetate?
I have read many times on SCS that you should NEVER use acetate or film transparency to store stamps. Here is a link:
Can I use any type of acetate to store clings? by Rachelrose at Splitcoaststampers
And last year there was this contradicting article that says, "To keep your clear stamps in the best condition over a long period of time, it is recommended you ALWAYS store your clear stamps on acetate."
Stamping Basics: Introduction to Clear Stamps ? Label Me Merrit
NEVER . . . ALWAYS
These are some contradicting and confusing statements. Perhaps you never store rubber stamps on acetate but you always store polymer on acetate? Or maybe both camps are taking the whole acetate thing too far? (shrug)
I do think it would be best to do some sort of research and/or test before moving your entire collection to the albums.
FYI, For several years I stored my cling stamps in CD cases. For most of my stamps this was no problem. But there were a couple stamps that practically welded themselves to the plastic case. It was almost as if they'd melted. Unfortunately, I don't recall if they were clear (polymer or acrylic) or if they were rubber with the cling backing.