I don't feel threatened in the presence of any ants I've ever laid eyes on. I do, however, know that the ants I've laid eyes on are the biggest pussies the ant world has to offer. Our black and even red ants are jokes compared to other continents (as is most of our wild life). They don't do much besides eat crumbs off our floors or get sniffed by my dog.
But did you know if you microwave an ant it doesn't die? Yah. Seriously. And have you ever tried to drown an ant? It's not easy. That's still nothing though. Some ant species we don't have can explode at will to cover an enemy in its stomach acids. If you've heard of the Bullet Ant you'd know its sting rivals a gunshot in pain. There are some (I believe from Africa) that have a sub breed in their colony with mandibles so big they can't actually feed themselves. They need smaller ants to crawl on them and put food in their mouth. They've literally evolved to be a killing machine.
But that's alright. Plenty of organisms have dangerous abilities and, as you may have noticed, none of the ones I've mentioned are inherently deadly. Well these weapons are all hardware to ants' software. And as we all know: Software is king.
Ants will attack anything. They will charge blindly at any foe that's been marked and throw their lives away in the name of the queen. I've seen videos of ants taking down crabs. The bigger ants were actually pulling pieces of the crab's plating open so smaller ants could climb in. That's right: they actually work as a team.
They outnumber us a million to one, they can carry 20 times their own weight and there's over 10,000 recorded species in existence. I'm not saying I think we're in danger of them (yet..) but if we were what could we do about it? How the hell could we possibly stop ants? We couldn't.
So my 'fear' of ants isn't irrational. It's actually incredibly rational. My fear of planes is another story.