Ugh.
Well, then is sounds like one of the best things you can do is destroy the "appearances." I'm sure Nop is guiding you there. Who the heck cares what other people think about your M? It is between the two of you.
I've been there Choco. Lots of people like to make comments either in front or behind your back about the "scandal" in this and that M. F-em! Do what is right for your M and for you.
Sounds like your W needs to get over that "appearances" hurdle for sure. What man with any self-respect is going to live in a house with a cheating W "til the boy's are older" just for appearances?! She's lost her marbles.
Keep going Choco. You know that right things to do. We'll be cheering for you.
LFL