According to a January 2020 Marist poll, 60% of Americans support the Hyde Amendment. Even more interestingly, the gender gap that appears in the answers to most questions about reproductive health disappears when the question regards public abortion funding, meaning that women are just as likely to support Hyde as men.
A 2019 Politico/Morning Consult poll indicates that 41% of Democratic women support the Hyde Amendment, while 39% oppose it.
Even the extremely pro-choice Slate Magazine acknowledges that a majority of Americans, and a plurality of Democrats, oppose public funding of abortion.