Why are you so focused on how much other people have? Shouldn't you be more focused on the fact that decade by decade the poor are getting richer and living standards are improving. Its almost as though what annoys you is not how much the poor have, but how much the poor have in comparison to a small few.

" They also benefit exponentially more from the taxes collected, which maintain the infrastructure that keeps them rich."

I'm not sure how that is the case, the wealthy tend to be privately educated and have private insurance. They rely far less on benefits and do not use public transport as often.

"I get the ideological idea, make everybody richer so we all get richer. It's good ideology, to a point. We must agree that that point exists somewhere, I feel that we are way beyond it."

I'm not making the point that if you make some people wealthy, then eventually everyone will become wealthy. If everyone were wealthy the no one would truly be wealthy. You cannot expect everyone to succeed astronomically, in any free society there will always be the few who through luck/hardwork will exceed that of most people. The point i make is that the rich already pay a fair share and for the most part earn their wealth by fair and legal means. Why should someone who has sought wealth and studied finance be punished because someone else who studied english lit or art doesn't earn as much?

"History shows us that the wealth gap is leading us to calamity. Every single measure should be embraced to slow that down."

The wealth gap is irrelevant as long as the poor have enough. There is a saying "you should only look into your neighbours bowl to see if they have enough, not if they have too much".