If we lived in a culture where most people know this is nothing more than a derogatory stereotype, then I'll be the first to agree that it's a laughing matter. Unfortunately, people treat this stereotype like it's factual:
So while we can view that tweet with 152K likes as a joke, I view it as someone with a large audience spreading a negative stereotype, a negative stereotype which is not yet recognized as such, but rather regarded as folk wisdom. I don't think people realize something is only a joke if society recognizes it as prejudice when played straight.
The other insidious thing about this stereotype is that if any short man has a problem with it, people will kafkatrap him by claiming he's confirming the angry short man stereotype. In fact, there's a 6'5 guy right here trying this, although fortunately he's called out on it by a user saying, "You can’t insult a group of people and then make it a social crime for them to be upset about it".
Like Matt K. Lewis once said, you can't talk about people being fat, there's ageism discrimination, but you can discriminate against short people and get away with it. Despite the fact that short men are not statistically more aggressive, people will never know this, because even short people themselves don't want to hear it.