Conservatives would not change their minds. They listen to whatever their talking heads tell them, and they would turn that around and make a counter protest. That's all conservativism is.
There are no "sensible" right-wingers, they've had their values thoroughly corrupted by a media-machine designed to split the worming class against itself. Changing optics would do nothing, so instead the left should focus on continuing grassroots efforts.
Also, liberals are not leftists, liberalism is pro-capitalism.