You are this one assuming. Of course the wife would be sinning. But as a husband you still have your responsibility and if you are just looking for an out there's a deep problem.
Feminism is a massive issue leading to destruction. I think we can agree on that.
I think you are making a lot of assumptions. I'm doing nothing but stating the obvious here. Wives are to submit to the headship of the husband but your framing makes it sound like this is a business arrangement instead of promise made before God. A man should never enter into a marriage with the type of woman you are describing and the response sounds like a dude that doesn't really love his wife.
This is probably common. Two selfish people that will marry several times