I'm not sure exactly what parts you want to know about being removable. But I have a Gibson Johnny A with a Bigsby. The stock bridge on that has two thin threaded posts that mount in to the body. They are not the thicker threaded mount that screw in to metal threaded bases. I ordered a Schaller roller bridge from Stew Mac and it didn't fit. It was not wide enough. And the top of the bridge was solid, the holes didn't go all the way through. I sent it back and tried another less expensive one. That wouldn't fit either. Although I measured the distance between the bridge posts and it seemed close enough. it was probably 1/16" or 1/32" wider than the roller bridges.
You might try calling Stew Mac and asking what might fit your Epi
I know a fellow who works in the Gibson Custom Shop and he said something very similar about a rocker bridge. He explained that the thumbwheels are actually peaked on the top side and not flat. That is supposed to allow the bridge to rock when you use the Bigsby