I was originally thinking that if people were upset at corporations for all the damage they do in the thirst for profit, we could take free speech rights away from corporate entities and enshrine those same limits as rights for the people.

But I think you're right. That's ridiculous and results in less freedom, and we should strive for 100% free speech across the board.

The way to fix hate is to make sure everyone's rights are protected and strive to meet everyone's needs. Hate arises from fear and discomfort. It's not an easy problem to solve.