Most of what you say is correct, but saying absolutely that unvaccinated people are endangering other people and vaccinated people are not is also false.
Don't get me started on how I'm a better driver when tipsy than the average 80 year old that still has their license...
The tongue in cheek point I'm trying to make is that too much of the conversation focuses on relative risk. Relative risk obsession has people not taking more risky, but still incredibly safe (at least in the short term) vaccines here in Australia. Absolute risk (or its delta) tends to be a much more salient number to the victim.
It does help the antivaxx crowd in some circuitous arguments however, as the chance of an unvaccinated person killing a vaccinated person is low if vaccines work!