Your wife is being unfair to your emotions and the relationship is unequal, no, I change my mind, it is bad.

Sexual intimacy is a bit of a trap. Often I have seen that women need emotional intimacy before sexual intimacy and men need it the other way around. One way or another you are getting neither from her, so just ignore that you aren't getting laid because worrying about that will not help.

I do believe that confrontation is in order but be smart about it. Get a referral to a psychologist who is trained in Family Therapy. Organise a baby sitter. Book the appointment and invite your partner but let her know that you will be attending one way or the other.

Look the rest will come about as it is destined to do but make sure that you have done your best for what you want (it sounds like you want a better relationship with her rather than to break up).

If you do your best and it still fails then you will still need therapy so that you can continue to work on a shared parenting, and what kind of parent you are going to be.