Not, not because of my religious views, which don't entry into this at all, nor is it about the fact that you find evangelists obnoxious.
The bone I have to pick with you is your idea that the government should pass a law that protects you from speech by others that you find obnoxious.
That something is obnoxious to a private party is not a good reason for a law. It is in fact an especially bad reason for a law that infringes upon constitutional assurances of freedom of expression.
The constitutional right that specifies freedom of speech doesn't exactly include the right to step outside your boundaries and walk away scott free afterwards. Freedom of speech is not 'exempt from all consequences of your actions'. Freedom of speech is not 'say whatever you want, it's okay, we love you for it'. Freedom of speech is the right to not be censored and to have your opinion heard by your peers without it being immediately discarded (which happens anyways, but hey, constitution!!!!!).
As a medical professional, this man's job is one thing and one thing only: Report to emergencies, get them stable, bring them to a hospital. That's it. There's no "convert" job description, there is no "preach the good news" clause. The paramedic stepped outside of his boundaries as a professional and damn right he should be punished for it, why on Earth wouldn't he? If the victim specifically asked to be told about Jesus, sure, fine, he's still doing his job because
that is what the patient is asking for and thus it becomes something that
has a good chance of helping out.
Doctors and nurses are held to the exact same standard and so should paramedics. As a doctor, you cannot walk into your patient's room, tell them they're probably dead, and then start preaching the good news. You can't tell them to turn to homeopathy, you can't tell them to change their favourite sports team, you can't tell them to change their entire belief structure. I'm nearly certain doctors take an oath against doing things like that because
surprisingly, trying to coerce people into changing themselves in a state of vulnerability is frowned upon by rational human beings. I know, it's pretty crazy, this is some new age stuff going on here.
The problem isn't Jesus. The problem is stepping outside of the boundaries of your job, a job that is held in high regard and which all individuals within that job are put into the volatile situation of saving lives and making sure people live through the science of medicine and not the grace of God. If they wanted to be in a faith healing tent, they should have been hired by a faith healing tent, not as an EMT.