Massive honking strawman and one I already addressed. Carrying a gun is an action. Being black or a woman is not. Also this is a PRIVATE entity contracting with another PRIVATE entity. All your examples are GOVERNMENT action. Nowhere near the same.
Another ridiculous assertion. Forest rangers and police are state/federal employees. They have all sorts of authority that private citizens don't. They have duties that private citizens don't. They are REQUIRED to carry weapons. In all of those positions, the person is expressly taking on the risks associated with the job. On the employment application it specifically states that they will be required to carry firearms.
Of course you bring up a great point. Security guards are employed by private companies. Some are allowed to carry guns and some aren't. If its perfectly accetable for a security guard to be prevented from carrying a firearm, then you can't possibly argue that a pizza guy should have one.
Now you're just being stupid. Bacteria is not an independent 3rd party. However just to entertain this bit of nonsense, bacteria is under the control of the restaurant/store. As such, it is their duty to eliminate the bacteria. A mugger is never under the control of anyone. That sounds great in a readers digest, but has absolutely ZERO legal relevance.
Nope. Not even close. Firearms are not a health issue. Vaccinations are a health issue. Coming up with come cute metaphore doesn't change this. And again, if memory serves (and I may be wrong), there is no law requiring vaccinations for kids. If you want them to attend public school they have to have them, but thats your choice. You can send them to private school, or home school them. Its your choice.
As public schools are run by the government, they have the right to set health standards. Just like a private business has the right to set its own standards.
Remember what I said about leaps of logic with no foundation?