Search engines should be like libraries. At least some tiny sliver of the billions we spend on education and research should go to, you know, actually organizing the world's information and making it universally available.

I see another issue here: companies like Google prioritize information to 1) keep their users and 2) maximize their profit.

If you move data organization to another type of organization (non-profit, state, universities - private or public), then the question of data prioritization becomes highly political. What should be exposed? What should not? What to put first? ...

It is already, but to a smaller extend since money-making companies have little interest in data meaning, and high interest in the commercial value of their users.

In which case, consider paying for something like Infinity: https://infinitysearch.co/

The theoretical cap for this, if you include every human being on planet Earth, is 7 billion/month. This translates into $84 billion annual revenue.

Google's revenue last year was 146 billion, and it operates not anywhere near the theoretical maximum. Most of that revenue is advertisement.