The mystique of the first "Thanksgiving" of the Pilgrims is just one of many historical events that bear little or no resemblance to actual event. It's just the way it is. People like their history in neat little packages.
It's like the common scene of Jesus being born in a manger with three Wise Men immediately coming into the birth scene bearing gifts and riding camels after following a star in the sky. It likely didn't happen exactly as neatly as that. But these are the images conveyed to us over the centuries. And they end up sticking.
The images might be tidy and neat and unable to convey the messy realities. Yes, the tidy images are the best on planet earth. No images in Buddhism, Hinduism, etc. are as powerful as Thanksgiving Pilgrims and Christmas shepherds.
“They also left a lasting legacy through the separation of church and state.” Lame.
They left a lasting legacy of the hierarchy with church and state where the state’s politicians assist the church leaders who prepare society for the Lord. Get with the program. Yes, Bible Gateway is awesome.