Honestly, not much. We’ve seen many times how people vote for the Democratic position in referendums while still voting Republican. We saw quite a bit of this in 2014. The problem for Democrats isn’t their stances on the issues, it’s their image, as well as how ineffective they are at governing.
I'm unsure what you're suggesting here...that the center-right Republicans who voted down the referendum in KS would actually be Democrats if the party had better optics? Do you not think people can have non-abortion reasons for supporting the GOP?