There's a severe problem where many people fall into groups that are diametrically opposed to one another. Not only do they want opposite policies, it's so bad

There's a severe problem where many people fall into groups that are diametrically opposed to one another. Not only do they want opposite policies, it's so bad that even framing the exact same policy as coming from one group or the other inverts the resulting appeal. Of course, what you're asking for is possible to some extent and should be pursued vigorously and maybe that pursuit is lacking, but it's also important to recognize that, prior to a monumental social movement that changes everything, applying your obviously good advice consistently is actually impossible.