I am sorry you are trying not to allow a father to have and use his legal rights. He will win, all you are doing is wasting a lot of money on lawyers that have no chance at all to win.
That is it in a nut shell. Unless he is a felon, a drug user, or some theft that you can prove to protect the child from, he will get monitored visits and then over night visits down the road. He most likely will get a number of weeks in the summer and so on. These are his rights,
And to be honest the court does not care where he was or what he was doing these last years. If you were not chasing him down trying to force child support those are your issues with him, not the courts.
So you don't like the truth, ( give reddies to correct answers) continue to pay an attorney who appears to be telling you what you want to hear as long as you have a check book to pay them with.
You need to be working on a good way to make him part of the child's life, it is going to happen with or without you being part of that plan.