Chick-fil-A were attacked because they were openly bigoted.
Were there any documented cases of Chic-Fil-A refusing to serve someone because they were gay? Refusing to hire someone because they were gay? Attacking someone because they were gay?
LK
Since the guy you're actually asking seems to be uninterested in answering, I'll answer for you.
The answers are "no", "no", and "no".
What happened was that the president of Chik-Fil-A, Dan Cathy, expressed an opinion on same-sex marriage that was exactly what Barack Obama had expressed just a couple of years earlier and that HIllary Clinton had also expressed. Oddly, only one of these three people were harassed for their opinion.
Oddly, it happens to be the one of the three with the least power to effect any change in regard to the subject matter at hand. But, he doesn't claim to be a "Democrat", which is an allegiance which absolves one from all responsibility and repercussions from their opinions.