Seeing the answers so far and knowing my experiences were fairly unusual, I suspect most Americans don't really know much about these things.
No, "Wicca" is a modern religion with vestiges of older religions, but having little in common except terminology that was mostly determined by Roman and Christian detractors. The earliest versions of wicca I encountered in the 1990s were incredibly similar to Robert Heinlein's ideas, making Wicca more similar to Scientology (started by a science fiction writer) than Native American spiritual practices. In fact, Native Americans have expressed offense that their beliefs be considered a religion at all as they consider them more important as a link to their histories and cultures.
Meanwhile, wicca has been revised and revised, presumably after groups were discovered "practicing" naked in the woods in Indiana with their small children. Like LDS, most commercial wicca products quickly distanced themselves from the more radical behaviors (at least publicly and as far as I could tell). No self-respecting historian would claim real connections except the superficial between wicca and ancient religions. Wicca is more about getting off and the ancient religions were more about sincere superstitions. This is also why native American groups would be irritated at the comparison.
This does not mean all wiccans are thinking of molesting children. There are many folks that like it for other reasons and are oblivious to that part of their religion's history, let alone ever bothered to read "A Stranger in a Strange Land" and have not made a serious study of ancient religions.
As for your primary question, I suppose it's a little funny if you like laughing at how ignorant people can be. In particular the Wiccans and Christians. The native Americans I've met have been college educated, so they seemed more intelligent to me. I'm sure every group has some ignoramouses out there though.
As for comparisons of native American beliefs and other "religions," I think spiritual Taoists and Confucianists might be more similar than wiccans.