liberals do not effectively fight against fascism because they are too desiring of orderly and calm and polite politics and too much powered by economic interests

Absolutely 100% correct.

So we actually rely on antifa as a social force.

We need to, yes.

Neither the state nor the liberals will fight against it.

Right you are again!

At least that is my limited understanding of it, since this is never discussed about in mainstream media.

Seems to me you understand it perfectly but yeah, the mainstream media is for-profit and owned by billionaires who are often friends with or at least have common interests with the fascists, so they have very logical, if despicable, reasons to be hands-off about it.