So, my question is should I demand my W not visit his shop, not take the kids there, or...?
Look man you know you can't demand her to do anything. Even when the kids are involved unless there is a court order for her not to take them to the pet store.
How is living like you are now better then living with your children in peace 50% of the time and living alone in peace 50% of the time?
IMO if you think she is going to wake up one day while you are still living together and say "wow what I was thinking I have everything I ever wanted in Tate and my family right along" you are fooling yourself.
Look man I know it is scary thinking about splitting time with your kids and starting all over again. But it will be so much better then what your'e dealing with now. Who knows maybe she wakes up someday down the road?
Are you in IC? If not IMO you should be to find out why you are willing to let your wife treat you like a doormat.