Our current incentives system is absolutely amoral, there's no financial/economic benefit for being moral, it's the opposite: being moral is penalised since you'd be disadvantaged competing with others who don't care about it.

I completely agree with you, moral progress should be incentivised somehow...

This has typically been done with social processes. The community publicly condemns or celebrates things according to how they fit our morals.

The problem is, there is no public town square anymore where we can shame the people who are responsible. The billionaires/megacorps control the media through which they communicate to the public.

In other words, the immoral actors have captured the systems meant to socially control them, and are instead using them to temper the moral instincts of society.