I have made this mistake all the time in life as well. Even with some things that seem to have no political, religious, etc. angle to them, and are just very easy to Google and verify in a heartbeat.
This is going to sound ridiculous, but I thought I'd open up for example. In university I adamently refuted the moon landing conspiracy of a group partner. I didn't realize this would offend, but it did. She did a lot of extremely vindictive things after that, and even tried to (with some success, I might add) incite anger towards me from other group members.
Some people become extremely defensive and then aggressive, perhaps it is especially so if you are the nerdy-humble-well-intentioned-Alice-low-gravitas type...
Knowing when to correct someone and when to keep quiet is something I have become a lot better at with age. It took a lot of learning the hard way though.
I would hope others are understanding that not everyone who is perceived as a jerk, actually intends it.