You didn't say you wanted custody of the child but you sound like you just don't want to pay child support. Not sure why, but having and supporting the child is your responsibility. If you feel you are paying too much based on your income, you can take it back to court. I think one way to tick off a judge is to say you want to contribute zero towards your own child. As far as an attorney, you would have to pay for one.
You can hire an attorney to fight for child custody. When you have shared custody of your child, you don't have to pay child support because you'll be helping taking care of the child. If you and your ex can work things out and arrange something with ease, there will be no need for a lawyer. If your ex hires an attorney and is being difficult than maybe you should get an attorney also. But if you are not taking care of the child as supposed you can not fight paying child support. So if you want to stop the child support you should file for shared custody.
It's very rare a judge will grant shared custody because the child will be bouncing back and forth between homes. Chances are the mother will get custody unless she is unfit. And the father will pay child support just like every other divorced father with kids.
I agree with going for shared custody... You will not have to pay the support and you and your ex can work out visitation just because you have shared custody doesn't mean the child has to "stay" with you half the time... You can have shared custody and see your child on a Tuesday and Thursday for a couple hrs. or every weekend.. Atleast in my state...
By the sounds of it, I can't imagine that you would want joint custody when you don't even want to help support the child. You were there to make the baby, now be there to support it----it is your responsibility
They can try. But very, very rare would someone end up not paying child support. My ex fought me in court over three years for full custody of our daughter, and still only got joint legal/physical custody and we each have her half of the time and he still had to pay me child support off of the amount he brings in yearly due to the child support guidelines.