I would go further and say they shouldn't have the ability to block any transaction consumers are making, regardless of legality.

I basically want them classified like utilities (or the Internet), and the money they're processing should operate like digital networked cash. If I hand you a dollar bill, it doesn't arbitrarily decide to stop being money if it thinks the transaction might possibly be even tangentially related to crime. That's how you end up with these corporations becoming so invasive in the first place, with their overbroad policies blocking entire groups/categories from being in the economy.

Don't think that I'm pro-crime -- but only actual crime is crime. A transfer of funds itself is only sometimes a crime. You don't see the federal reserve trying to foil small-time drug deals in cash, and for good reason -- legitimate crimes should be investigated by law enforcement, not "prevented" at the whims of overeager corpos. It's not the payment processor's right or responsibility to prevent or they to predict crime, especially once they've built such a system as to become indispensable for most of us. If they are allowed to do that they will always do it the easy way -- blanket bans with massive collateral damage to non-criminals.

These companies should be disbanded and their systems should be handed over to the public. Hot take, I know, but I'm of the mind that transaction processing (much like air and water) should not be privatized. You may think at this point that I'm a crypto-head, but not really. It seemed promising at one point and may be still, but now it's perhaps permanently associated with unsavory types. I'll use it if it fits the purpose, but expecting the general public to use it as money is insanity. Crypto brought us part of the way there, but such a system can't really flourish in furtherance of the public good in the current environment -- even disregarding the bad PR.

Absolutely. I'd switch to other payment methods that aren't those, if you can.

*illegal shit would not be protected.

They can push for some law that makes certain groups or their depictions illegal. Then it's their morals becoming a law.
If there's corruption lobbying, there's a way for them to twist "immoral" into "illegal", which is fucked.