I'll say it again, the DB Coach could help, in my opinion it was more helpful than IC. The IC deals with all kinds of issues and will tend to focus on you versus the dynamics of your relationship. The DB coaches do nothing but troubled relationships 24x7, so they are specialists while the IC is a generalist.
When your W accuses you of things like that, the key is to calmly say that it didn't come from you and don't apologize, don't get defensive. Answer the question and move on.
WRT cutting down on your visitation rights, there is no structure for visitation rights right now because you're not divorced. She can certainly try to limit your access to the children, that's what your visitation rights would prevent. Because they are with her, she can control your access to them right now.
I would tell her that you intend to continue to be a good father to your children, and speaking poorly of their mother would not be good parenting. I would also explain that since you are doing your best to work through this difficult time with her, you don't appreciate being threatened. Regardless of what happens between the two of you, you will be parents together forever. Your involvement will continue to be important to the children, and you intend to make your time together constructive.
Then I would politely end the conversation.
Accuray
Married 18, Together 20, Now Divorced M: 48, W: 50, D: 18, S: 16, D: 12 Bomb Dropped (EA, D): 7/13/11 Start Reconcile: 8/15/11 Bomb Dropped (EA, D): 5/1/2014 (Divorced) In a New Relationship: 3/2015