Still, as a society, we have a number of dedicated individuals that do study celestial movements and would try and prevent a sudden asteroid impact, and we all do remain vaguely aware of what's going on up there. So I'm not certain how much I agree with the fact that ants cannot understand us. Sure we can't sit down and have tea with an ant and talk about the weather, but if the moon was a gigantic dragon that just moved really slowly in a mostly predictable manner then how we interact with it might not be particularly distinguishable from how we interact with it when it's just a chunk of rock.
A good parallel to think of here is probably Discworld, I might suggest reading The Light Fantastic if you never had to get a bit of a sense of how we might interact with celestially sized lifeforms and just how one-sided that relationship could potentially be.
We can prod and research ant hills all we want. But all ants will ever see are some unexpected occurrences - maybe a very unusual scent which they can't place, or some food which wasn't there earlier, or an unexpected plague of ant death - which they will forget almost instantly.
It will never occur to ant-kind that they're even being studied, because ants have no concept of what "being studied" means.
There is nothing at all in the ant (hill) mind capable of understanding that a creature like a human might exist, never mind how to communicate with it.
So we can do what we like, and we will remain not just invisible, but unthinkable - forever.