What to do when ex doesn't comply to divorce judgement?

It sounds like you have a poorly crafted agreement with a lot of slippery language. There's not much you can do except to fix the language. So,...

How can I make a good argument?

The best way to make a good argument is to hire a good attorney. Why not do that?

What are the conditions, if any, that must be met to have a biological father's rights terminated in Illinois?

You can have your new husband adopt your daughter and that will effectively end the biological father's parental rights. Short of that, there's...

You won't be making things any easier for yourself, later on. Why is it that this father should not support his children? Once he gets out of...

How can I termintate my ex husbands rights to my daughter?

I would just like to compliment you on succinctly identifying your pour position, here, right in the heading to your question. You and he have a...

How is this allowed????

The court isn't in charge of how the case is handled. It's up to "your friend" and her attorney to move her case along expeditiously. Frankly, it...

Will my daughter's mother appear in court for a OOP plenary hearing if she is in custody?

1) she MIGHT be able to appear and the hearing MIGHT be continued. You need to work with an attorney on this point 2) No. 3) Hire a lawyer.

Can I ask that mediation not be ordered?

Yes, you may.

What is ex husband entitled to for maintaince income?

Probably not, but it depends on the language of her divorce agreement / judgment. Get a copy and talk with a lawyer.

Are we able to file an uncontested divorce even though my wife has a 401k. However, we decided it's hers and I don't want any.

"Uncontested" means you two agree on everything. So, yes, you may obtain an uncontested divorce. What you're really talking about, however, is...