@NYMom10,
Be careful if you recorded him speaking without the recording noting he knows you are recording him or you could be in trouble
I agree it would be best to talk with a lawyer. The thing is if he ends up getting caught he is going to be in much more trouble than simply child support...the IRS does not take kindly to those that lie and deceive on their tax returnd. Although I don't condone threatening or black mail ... you could report him to the IRS and they may investigate .
Personally I think it is best to talk to a lawyer if you want the support your child deserved.
If it makes you feel at least a little better I agree the guy is a dirt bag if it wants to deceive in order to not provide for his child.
Curious does he have any contact with his child? You could maybe convince him of the financial side if he cares emotionally of the child.