You cave and it will never stop
Just look at the tactics of the gay and anti-smoking lobbies.
Any inch you give them they take and add ....a time zone.
Same thing when it comes to other aspects and facets of society. Left to their own devices, the Left would change everything. They may claim to support free speech and freedom, but they would ban anything that is not fully (fully) supportive of their particular world view. That is why they need to be pushed back against.
Do not be surprised if they even go after In God We Trust, a phrase that (whether you believe it or not) doesnt hurt anyone. But they will go after it. They will go after those who home school. After churches. After what car you should drive, or how much you can earn, or how much you can keep of what you earn.
The end game of Liberalism taken to its full evolution is not freedom. It is State control, a form of Communism without the silly murals of farmers holding sickles. The Final Form of Liberalism at its zenith is simple - control. Control of what you can do, what you can say, what you can think. Control over your specific rights.
Control.
And there is no end to control. Like a black hole, it always has room to swallow more rights and freedoms. And in a modern world of technology and nigh-omniscient/omnipresent surveillance, that Control can be almost absolute.
In the US there is already something similar to Chinas social credit system. But rather than an array of highly sophisticated cameras with face recognition everywhere - the Chinese approach; what you have in the US is simply millions of people with cellphones that take video and will record you if you say or do something that is not agreeable. That can cost you - career, friendships, etc.
Anyway, never cave! Ever.