Does the eye on the US dollar have anything to do with the Dajjal?

No, there is no serious reason to think so. The one eye of the Dajjal is an image for a one-sided view of the world, not a sign to be looked for on banknotes.

The back of the American dollar bill shows a single eye. Some people see in it a reference to the Dajjal, who is said in the traditions to be one-eyed. Such connections sound exciting, but they rest on nothing more than guesswork.

The verses above are very clear on this. A believer should not pursue what he has no knowledge of, and conjecture is of no avail against the truth. Whoever looks for a secret sign in every picture and every symbol easily loses sight of what really matters.

The description of the Dajjal is understood as an image, not as the description of a particular body. In the hadith above, the one eye of the Dajjal is set against the perfect sight of God. In this image, having one eye means seeing only one side of things. It points to a view that perceives only the material and stays blind to the spiritual.

So there is no need to take the question too seriously. You may laugh at such interpretations, and you may also weep over the state of the world. But do both with two eyes. Whoever looks at the world with both eyes, with reason and with faith, is protected from the one-sided view that the warning is about.