you said:
If a man can prove by DNA that he is not the father, he should not be listed on the birth certificate, and should be under no obligation to support a child that is not his.
My thought: In addition she should be forced to pay back any child support previously collected, with interest.
For some reason, that reminds me of one of my all-time favorite Westerns:
"Then the women got the vote, and everything went to hell. While our boys was overseas fighting the Kaiser, the women got Prohibition put in. Drinking and gambling and whoring were declared unlawful." - The Life and Times of Judge Roy Bean (1972)