Dusty, on the birthday, do your kids usually buy gifts for your WW? I mean, back in the day for my STBXW's B-day, I'd usually go out and buy all the gifts, and some would be from "me" while others were from "the kids". So here's something to think about - if you are no longer in the picture in the future, who will take your kids to buy their mom a present?
On the OM, unless you have some proof, I'm not sure you should do anything. Even if you do confront her, there's still no guarantee she'll actually move out.
Me-47,XW-43 S13,S16 M:18 BD:4-23-17 W filed:7-17-17 (5 months of in-house separation hell) W moved out:1-6-18 D granted:2-15-18 Decree signed:3-29-18