The word "pursue" is doing a hell of a lot of work in your idea of the American right "pursuing voting rights." They're pursuing them like a hunting dog pursues a kill.
What are some examples of the right (and I mean more than a single lonely senator) fighting for higher wages, healthcare, affirmative action, workers' rights, and voting rights?
Trump’s China tariffs were supposed to increase wages. Trump also pushed down prescription prices, and I believe some sort of price transparency in healthcare. Not sure how well it worked tho.
As to worker rights - both sides are equally happy to throw them under the bus.
And the right pursues many of these things as well, albeit in very different and sometimes polarizing ways. But we should not pretend that leftist policies are not just as polarizing.