Yep, it's a fantasy. No American 1 dollar coins ever existed with anything remotely resembling that design. It's based on the design of the pre-1999 Washington quarter, first issued in 1932.
If you look closely, you can see the word "FAC SIMILE" under the wings of the eagle.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis