Painful as it is, he really owes it to his wife to kick all the other lovers out of his life for good.
Why? He admitted the marriage was a PR sham. He would do her a favor and the right thing by leaving her. She'll divorce him anyway so it's a moot point.
This is like Gov. Sanford saying he met his soul mate then saying the he wanted to stay with his wife. He loves someone else but will stay in the marriage because it's beneficial to his career, which is what Tiger is doing. How is that the right thing to do and fair by her?