I think sincerity is a short hand to cut through partisanship. You believe what you believe sincerely, likely because you find it backed in truth / agreeing with your morals and best intentions. If we assume all humans generally back their sincere beliefs because they find them truthful / backed by their values, the conclusion is that you either have different information or different morals.
You can either assume everyone who disagrees with you is evil or stupid, or you can probably more accurately recognize that someone who disagrees with you, especially if they also live in America, has access to just as much info as you, has access to similar resources, probably isn’t evil: so the conclusion is that they are acting in good faith but with different morals.
Sincerity is a short hand for the fact that most humans are intelligent like you, and most humans in your proximity have access like you, and arent evil, so the result is that they are much more similar than you than you think but with different experiences.
It means you can cut through to the root questions instead of using far worse shorthand’s than sincerity - like “they voted the other way so they much be evil and hellbent on destroying my way of life”.