How to bind chopped pepperoni, salami, and bacon
What I did to solve my problem was I made a thick cheese sauce with some of the pepperjack/sharp cheddar (grated some of it, coated in corn starch, melted in a little bit of milk), and mixed that into the meat mix, just enough cheese sauce to bind it, just enough to make the meat start sticking together (and I reduced amount of sliced cheese on top and bottom to make up for the addition of cheese in the meat).  Worked pretty well for me!