For example, look at the US right's decades-long pursuit of anti-GLBTQ policies. Gay people mostly just want to be left alone to live their lives. the US right wants to use the power of the state to discriminate against them. It went so far in California that Prop 8 specifically rewrote the constitution to strip the right of equal protection from gay people.
That is intolerance.
Also, "social lynching" is just a ridiculous term. The US has a long history of actual lynching, which is the extrajudicial murder by hanging, mainly carried out by intolerant racists. What you apparently mean by "social lynching" is people exercising their freedoms of speech and association by critcizing or not being around people whose ideas and behaviors they think harmful to other people.
As first-amendment champion Ken White, aka Popehat, often points out, freedom of speech is not freedom from consequences. "Speech has consequences. Among those consequences are condemnation, vituperation, scorn, ridicule, and pariah status. Those consequences represent other people exercising their free speech rights. That's a feature of the marketplace of ideas, not a bug."