There was a bump in pro-choice sentiment after Dobbs but we will see if that is durable. The public opinion on abortion has been remarkably stable over decades: https://www.pewresearch.org/religion/fact-sheet/public-opini...
Also, on the right, it’s women that drive the anti-abortion movement: https://www.npr.org/2019/06/08/730898408/republican-women-an... (“But what's interesting, Scott, is that Republican women express more opposition to abortion than Republican men - 68% of Republican women call themselves pro-life compared to 59% of their male counterparts. Also, Republican women were the only group in this poll to oppose exceptions for abortion in cases of rape and incest. A majority opposed that, while most Republican men do support those exceptions.”)