Again, how does me not getting vaccinated posing a risk to you? Unless of course your vaccine doesn't work.
As a matter of principle? Because, as an unvaccinated person, you are more likely to become infected, and more likely to develop a sufficient viral load, and more likely to transmit it to other people, and since no vaccine can ever be 100% effective, your greater ability to transmit the virus to other people means that you are a greater risk to both vaccinated and non-vaccinated people than are vaccinated people.
But that is not the question that matters.
In principle, you lose, but what matters is the practical question: that is, do you, as an unvaccinated person, pose enough of a threat to other people, including vaccinated people, that you should be forced to do something - get a vaccine, or quarantine - that you don't want to do?
On that score, I think the answer is no, you are not a sufficient threat, even in your glorious unvaccinated state, to justify forcing you to take a vaccine you do not want, to force you to quarantine against your will, or to prevent you from going to places you want to go (e.g., the grocery store).
On the practical issue, you win.
The fact is, in all other aspects of life, we routinely accept that certain people can do their thing in public without significant restrictions despite the fact that they represent a materially higher risk of injury to others than, say, some other people do.
One group that comes readily to mind are young drivers. Single males in their early twenties, in particular, present a materially higher risk of injuring others through their driving than, say, a well-trained professional driver who is married and in her early forties. But that doesn't mean that we prevent twenty-something single men from driving, and it doesn't mean that we make professional driving courses mandatory for them. We, as a society, simply accept the higher risk, and those individuals who do not wish to accept that risk must modify their own actions to minimize that risk.
And that's the way it should be.
Unfortunately, when it comes to COVID-19, we somehow managed to lose the rule of common sense.