The problem with that formulation is that it denies the importance of the quantative aspect of the difference of opinion.
Of course there are views so extreme almost nobody would put up with them. But at the same time, being tolerant of differences of opinion is an important aspect of a free society and a functioning democracy. There is a word for people who cannot tolerate even the smallest difference of opinion: bigots.
But differences of opinion aren't binary; they lie on a spectrum. Similarly, bigotry lies on a spectrum. The person who doesn't brook the smallest disagreement is a greater bigot that only considers the most odious points of view beyond the pale.
For an extreme example, consider these cases: 1) A CEO is fired for arguing that the US government should round up all Jews and put them in extermination camps Nazi Germany style. 2) A CEO is fired for arguing that the local sales tax should be raised by 0.25 percentage points.
Are these cases exactly the same? You could argue in both cases the CEO gets fired for expressing sufficiently unorthodox political views, but that doesn't cut at the heart of the matter. Clearly it's necessary to quantify how extreme those views are. The extent to which the board that fires their CEO is bigoted depends on how unreasonable the CEO's views are; they are inversely proportional.
So now back to Eich. What was his sin? He donated $1000 to support Proposition 8, which restricted the legal definition of marriage to couples consisting of a man and a woman. This view was shared at the time by Barack Obama and a majority of California voters. It didn't strip gay couples of any formal rights: all the same rights could be obtained through a domestic partnership or an out-of-state marriage. It was just a nominal dispute about what the word “marriage” means.
Clearly this is a relatively unimportant issue; closer to a tax dispute than a genocide. You can disagree with Eich and the Californian public on this one, but being unable to tolerate their point of view doesn't make them monsters; it makes you a bigot.
The fact that Mozilla didn't allow their CEO to deviate from the majority point of view on this issue (again, a minority viewpoint in California at the time!) revealed Mozilla to be a heavily politicized, extremely bigoted corporation, that puts ideological conformity first.
No, fighting for equality does not make you a bigot. Being a bigot makes you a bigot.