I wanted to tell her that we can't be spending time as a family while she is dating other people because it will confuse our D.
But this little part sounds like B.S. to me. Is this truly your motivation? If it sounds false to me, it can also sound false to your W.
For me, I think I can see my family doing things as a family. We can go together to our kids' birthday party together, or some school function together, etc. What I don't want to do is things that a loving couple does. Like exchange tons of non-kid-related snapchats.
Having dinner together falls into a bit of a grey area. It can be a family thing, I suppose. Much depends on the intent.
My two cents' worth...
Me: 50, MLC/WW 45 Young kids Nov 2015: BD1 Apr 2016: BD2 Jan 2017: W filed Feb 2017: D final