Goodness knows. I've never particularly thought of the USA as free anyway, when it makes children say a pledge of allegiance every day that includes reference to a god you might choose not to believe in. So much for freedom of religion.
Being British, that looks nuts to me, and so does putting hand on heart during the national anthem. All we do is just stand to attention for ours, but that's just customary, there are no rules or laws about it, and if you want to do something different as a form of protest, fine, you have the freedom to protest. Just keep it peaceful, that's all we ask.
I might point out that if you are referring to the Pilgrim Fathers, yes they left England to escape the compulsory religion that there was at the time, but only so they could impose their own equally intolerant system on themselves in a new land.