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Feetup, I would expect most of the solvents could hurt (eventual cracking and crazing) your deadlights, whether they are polycarbonate or (more likely) plain acrylic. If you can drill or pick or chew one small hole all the way past the edge, you can pass a piano wire or mono fishing line ("Spidersilk" or other aramid/kevlar material) through the hole, and working with two people, saw it back and forth around the deadlight to cut the sealant.
Depending on what it was bonded with and how well it was bonded, simply pulling or pressing just may not do anything. Using a heat gun and really heating it up as much as you dare, might help release it.
But you may just need to replace the deadlights, or find that's the easiest thign to do. If they are just 1/2" sheet plastic, any plastics shop should be able to made replacements for you at a reasonable cost.