The examples you cited are indeed sever governmental intrusions into private business. No doubt about that. And all of those laws should be repealed.
However this situation crosses two new barriers. First, we have government using the force of law to coerce a private citizen to violate his religious conscience, whatever that may be. Second, this is government impelling coerced forced labor against the will of a private citizen. That is a whole new level of government control over the citizentry. They are saying that by 'force of law' you have no right to say 'no' to anything and you have no private control over your own wish to do labor or to decline.
No. This is nothing like a parking space, or smoking. This is a whole new level of government force. And if that does not get your attention, then you are already so aclimated to goverment power and force, that there is nothing the government could do that will cause you to balk, and say 'No', No farther, Enough is enough, as this brave family has done.