Wow, reading your sitch sounds a little similar. My W doesn't want to coordinate on any decisions regarding the kids, and we are still under the same roof.
She lathers on the rules with spew. They come to me so I may enforce the rules with guidance and calm. It makes her angry that they come to me (even though I am technically backing up whatever chore or task she just demanded) and then she searches for something gone wrong in the house so she can also spew at me.
Thank you for your post on co-parenting and trying to reason with the MLCer. On time. Needed to hear that right now.
M: 49, W: 45 T: 22 M: 15 S14, S11, S9 BD: Jan '16 W files: Oct '16 D final: June '18