This law is saying that you must take into account race and gender in your hiring decisions.
> The state shouldn't have a say in who gets a job at a private (non owned by state) company.
that's exactly what the Civil Rights Act does. The state has been telling you how you are allowed to make hiring decisions for a while now.
edit:
And here's Strom Thurmond on the Civil Rights Act:
"This bill would take away the rights of individuals and give to government the power to decide who is to be hired, fired and promoted in private businesses."
https://teachingamericanhistory.org/document/debate-on-the-c...