Left is Right?

We were doing ethical relativism and ethical universalism in Philosophy class today and I had a thought that merits further development-- by someone other than me, a simple shed-builder: 

W.T. Stace claims that ethical absolutism is the province of the right, of conservatism and religious folk, but that may not be the truth any longer . . . the right seems more concerned with general libertarianism-- if you want to wear a mask, do so, but don't make me wear one; if you want to be green, great, but don't regulate pollution, etc.-- while the new "woke" movement on the left seems to believe it has the right ideas on race, climate, gender, etcetera . . . of course, there are exceptions and anomalies-- abortion comes to mind-- but perhaps this reversal in tone and attitude has also caused and confused all the polarization and animosity (and the important thing to remember is that nobody knows the best way to do anything, one society's outcast is another society's hero, and there's usually-- but not always-- a range of solutions to ethical problems, and complete faith in ethical relativism is an absolute and thus a paradox).