These Mounts .............

Yeah, they always seem to come out a little funky. 
Just wondering if I should just go ahead and "liberate" those poor trapped stamps ASAP.

The pages are kinda cool though. If anything I'd like to retain them. 
I'm also concerned with damaging said stamps by removing them too.

It's probably best to remove them to prevent any more damage. From the back, run pointy tongs through the crease and along one of the folded edge flaps. That way, the backing will protect the stamp from tool damage as you shave off the flap. Repeat on one or two other flaps. My pointy tongs are so sharp that I've cut myself on them more than once, so they're great for this. You could also use an X-Acto knife with the same technique.

I hate those kind of mounts. Every time I've encountered them, the black backing is actually high quality paper rather than plastic. And I really hate that they are sealed on all four sides (that collector better have has some serious OCD to have spent the time sizing & sealing all four sides!).

I avoid buying collections that have them, but if I end up with one anyway, I will definitely remove the stamps. On the stamps that have any premium, I use the knife to slice away 2 adjacent sides. The rest, I just cut edges with scissors -- anything I damage goes into the postage bin.

I took an Exacto knife and went to work ..... I.M. DeBear, I'd probably just injure myself with pointy tongs that sharp.
The first one was stuck pretty good to the backing. I was more careful with the next couple and they came out great. Then the next couple were stuck as well. Guess they're going to get soaked.

I can't help but wonder how much time and effort went into sealing up each and everyone of these stamps! There's got to be 70 or 80 of them.

The ones I hate the most are the hermetically sealed stamps that sometimes came with those value-added collections for "collectors". Those were stiff plastic encasing, often directly abutting perf tips (sigh, no selvedge). I bought one for 25% of FV once and soon found out why it was so low and nobody was buying them. Not only was the shipping high (heavy cardstock pages, each with at most 6 stamps, often less), but the stamps took forever to remove.

First I had to cut the pages up so I could handle each stamp encasing individually. Arrangement was not same on each page, so could not simply guillotine a bunch of pages at a time. Then I had to use strong scissors to carefully cut off one end that had some space between the perf tips and plastic edge. If I couldn't pull out the stamp (which was often), I'd have to try using the blade, which didn't cut the hard plastic well and often simply tore the plastic at odd angles. It was easily taking me several minutes each stamp.

The stamps were remarkably well-preserved, although they did a bad job of choosing well-centered stamps (it's the casing that's important, not the centering, right?). I was surprised that very few perf tips were damaged, considering the tightness of the margin and all the handling/tugging that went into removing the stamps.

The pages were well written, though. I didn't have a digital camera then, so never archived some sample pics before I salvaged the stamps from the pages.