Eric Harrison
I actually run a church with nearly that exact setup. We use a 2 M/E switcher with a 1 M/E pannel, and an iMac with the ATEM controller running nearby (with our live stream on M/E 1, and the feed to the auditorium on M/E 2). We only have the one panel, but since you can connect multiple computers, I don't see why you couldn't connect multiple panels.
It is fairly easy to run both feeds from one panel, though (just make sure on M/E 1 to create a source for the M/E 2 program)