Just stating not every door can be rebated a diyer asked for an easier way than rebating the doors as he didn't have the tools to rebate it he didn't sat which doors he was using but these days off the shelf doors mostly can't be rebated
You are assuming a lot of things which I would put down to a lack of experience with dealing with real world problems and, most importantly, solving them.
So just have doors flush and have a rollerball catch on one door and double-striker on the other, shut either door first. Still have to lock one door first to stop them both falling open. Mr. HandyAndy - Really
I can see how that would work, and welcome back BTW, but I can't see what the OP is trying to achieve. You're normally pretty good at de-cyphering this sort of thing.
To answer your question, prise off the door stops, hang your two doors at the depth of the leaf of the hinges you use, if you don't WANT a rebated edge you don't have to, it's your house, just keep the gap between the doors a nice 2-3mm with a slight angle on your master door (the one you activate the latch with.) Flush bolts are the best option in the secondary 'slave' door as they are hidden when closed and are a good operating action. One top one bottom. That secures your slave door whilst the master door will stay shut on the latch provided the flush bolts are locked themselves. Once you've positioned your doors flush with the lining, re-fit the doorstop to 1mm off the doors edge. You will always have to close the slave door first to latch the master door using this method though, so in effect, the same result as a rebate, just easier to achieve.