If I had hard evidence that she was squandering marital assets on the affair, then I could cut off her access to my income, and provide ONLY for her basic needs. I did this with my wife.
Even if you DON'T have hard evidence, if her current mental and emotional state is such that you believe she's a "flight risk," so to speak, with your finances, then it would be wise to separate them.
Even if those two conditions DON'T exist, it's not a bad idea. It gives her a "feel for what it would be like if Callasdad weren't in the picture."
Can you get some more intel about how she's spending your money, so that you can make a stronger stand/statement?