10% of people oppose nearly everything and it isn't tyranny so, unless you're an anarchist, your point is ridiculous.
I think this quote from Tocqueville explains it well: "So what is a majority taken as a whole, if not an individual who has opinions and, most often, interests contrary to another individual called the minority. Now, if you admit that an individual vested with omnipotence can abuse it against his adversaries, why would you not admit the same thing for the majority? Have men, by gathering together, changed character? By becoming stronger, have they become more patient in the face of obstacles?"
What matters is not how many supporters each side has but what the merits and demerits of each side are.
And who decides that? It's either going to be a tyrannical minority, a tyrannical majority or a literal tyrant according to those who oppose the decision.
I should clarify that I don't mean to say that this makes the protest valid, just that the argument that protest is only acceptable if an arbitrary number of people are involved is not all that good.