G,
Oh, man. Sorry for that kick in the teeth she delivered.
Your ultimate goal has to be getting yourself out of infidelity. It may be with her. But it may without her.
I see you have kids. Fight for them. She has no legal right to separate them from you if you are their legal Dad. Right now you are the only sane parent they have.
You must realize that all of that "ignoring her emotionally" is her attempt to avoid being accountable by trying to shift the blame to you.
Four things for you right now.
1. take care of your personal well being and health; don't turn to the bottle.
2. confide in a trusted family member or friend. You need that IRL (in real life) support.
3. expose the A to the light of day. It is the quickest consequence you can deliver to her.
Expose to her family. It's true that blood is thicker than water and some may rally around her. But tell them. I don't think her Dad will any too pleased to find out she lied in order to have a fvckfest with the other dude.
Expose him to his military commander.
4. See a lawyer immediately to know your rights. Especially about the children. It is possible to file a court order to prevent her from taking the children from you. See what D would look like financially.
Watch out for a false domestic violence charge from her. That is how she could get the kids away from you. The other dude is advising her about this stuff. He's an abuser so he knows all the angles.
It would be best if you record all of your interactions with her. Get a voice activated recorder (VAR) or an app for you phone. Protect yourself so she can't take your kids away from you.
Yes, you are her Plan B while she tests drives life with this other dude.
Keep all of your evidence in a safe place. Preferably two places.
Exposure is your most powerful tool right now to wake her the hell up. Please know that just like she has lied to you, she will lie to family. So don't be shy about giving her dad all of the evidence about what his daughter has been up to.
The other Shock and Awe tactic is to ask her again if she wants a D. When she again says no, then tell her she has one hour to go No Contact with the OPOSOM and block him from all communication. The NC communication to him must be approved by you and her sending it must be verifiable by you. Tell her that you are unwilling to share her with another man. If she doesn't break contact then you will file for D because you will not be in a marriage wile she is in an active A. Think long about this tactic. Because if you use it and don't follow through you will lose mojo.
If exposure doesn't work then you may have to file and have her served w/D papers to wake her up. If she wakes up and shows remorse for what she has done to the family then you can put the D on hold.
Expose the A. Don't tell her your are doing it. Because she will warn everyone that you have gone crazy, that you are abusive, blah, blah, blah. crazy. She will warn the POSOM that you are going to his commander.
Others will be along with advice.
Stay strong. Keep posting.