As PatientMan implied, I think you have to find your own moral compass and your own boundaries ... but if it were me, I could not live in the same house long-term w/ a wife who was clearly having a physical affair. I'd have to file.
You said you'd make your wife move out but ... you can ask but you can't legally make her do that.
Note that if you file, the court could evaluate the employability of your wife based on her education/training/skills and determine that she's responsible for earning a certain amount.
Anyhow, do all you can to take the high road.
Me: 50, MLC/WW 45 Young kids Nov 2015: BD1 Apr 2016: BD2 Jan 2017: W filed Feb 2017: D final