Totally agree: They are NOT unreachable.
Indeed, Most Americans spouse to progressive ideas (they are after all for human’s wellbeing), but they just don’t know that they are progressive ideas and Mainstream Media has done their due diligence of misinforming people to the point that they can vote against their own interests.
With the correct framing, we can bring all those, no matter how they label themselves, but how they can agree with us in the granular (policies) scheme of things. Please refer to Professor George Lakoff