[roach-commuter]

That stuff looks like polyurethane foam. If you have a source of technical heptane, or just naphtha, it should be fairly easy to dissolve the adhesive and peel off what remains of the foam.
Loading solvent into a syringe and applying it between the foam and the panel would be the easiest way.

I think I am gonna go this route. Probably dissolving it will be the easiest thing to do. Any tips what I might use as a replacement once I get rid of it? Any modern materials that can be used for airflow control ?