- you seem to say that the only reason for politics (and generally speaking disagreements, wars, etc.) is genuine difference in beliefs (ground truths), which come deeply from the heart and as such are not subject to intellect or logic. In my observation, these beliefs are not all similar in nature. Some are truly foundational like "I like people" / "I'm indifferent whether people exist or are happy", however there are plenty of higher-level thoughts, to give an example from the other extreme on that axis: "I like party X" / "I think party X are all thieves", which are very often described also as beliefs, but in fact, they can be subject to division into smaller components using pure logical process, until eventually you reach the much more foundational level of beliefs. What I've observed is that people are unaware of the fact that their beliefs can be analysed this way and instead just fallback to "we just disagree on beliefs, we will never agree". This is a useful method of manipulating people, to divide them into groups which believe that are opponents, while in reality they needn't be.
- you say that no better tool (to close that gap of understanding high-level problems) has been created and seem to imply that this means that it cannot ever be in the future. Even if it could, perhaps that would be a product of some reputable scientific society or a big corporation, and not a modest group of editors of a philosophical website. If you go to the extreme and expect anyone to deliver an ideal tool, then you're right that it may never come to exist. But what I believe everyone can do is try to make an ever so slightly better tool than the one we have right now. That's what we're trying to do and that's what I'm certain you could do too, we don't aspire to be superheroes.
(Sorry for such a delayed response, a random life event cut in)