Can I use proof of failure to pay child support to a previous child as a reason to take away parental rights?

My ex-boyfriend and I conceived a child accidentally. The birth control failed. Originally I thought he would make a good father, but in the 4 months since we found out about the pregnancy, I have since learned that although he has been absent from his first child's life for over 1.5 years (due to distance), he hasn't paid a dime in child support and his divorce papers have documented instances of neglect. He doesn't call to check on his son, unless I am on the phone with his ex-wife, then he will ask about him. Can I use the child support/setup of his visitation, and the fact that he doesn't seem to care about his son on an ongoing basis, as a reason to ask the courts in Illinois to take away his rights to our child? Also, he was without a job since a week after we found out (mid January) until this week (beginning May), he didn't do anything to find a job, his parents were giving us a roof over our heads during that time. I moved out mid April due to the stress of being in such a crowded home environment.