It might end with changing all those names. Some teams and tribes however have an agreement n the use of name and imagery, Florida State for example.

This is actually a giant onion with many layers. "If" you mandate that teams change their names because certain people find them offensive than you also have to go and start changing other names.

Seattle "Bombers" baseball team... See where it is going?

Then you will have the atheists wanting all cities named after Saints changed...

Once the snowball starts rolling... it will never stop because it sets precedent.