You have the right to not get the vaccine, but you do not have the right to put other people at risk. Private companies can and will employ/fire anyone for any reason. That's one of our freedoms (in the US), the freedom of not having to work with as**oles that want to put others at risk. True freedom if you ask me.
True freedom is getting fired for hesitation over experimental medicine. People with hesitation are assholes who want to put others at risk. It's so clear now.