A 2019 Gallup poll found that 61% of American respondents believed pornography was "morally unacceptable." That's nearly twice the share that thought smoking marijuana was immoral, and higher than abortion. Somewhere around half of American women support banning it altogether, as well as a not insignificant share of men: https://ifstudies.org/ifs-admin/resources/lehmanfigure2-w640...
(IFS is a biased source here, but the surveys they cite are not)