I'm not an expert on the period but I already know about the Great Awakening. As far as I'm aware- it was a religious revival- people got fired up about Christianity, it didn't create any distinct US form of Christianity.
If a Christian gets really fired up and really excited to go to church- they go to church but this isn't really creating a new form of Christianity or anything like that. It isn't like the Vatican II Council or the Protestant Reformation or anything like that.
I don't think the great awakening has any particular influence on how people practice Christianity in the US- at the time people were fired up but I would assume that wave of enthusiasm has died down in the centuries since then.
I don't know what, for example, would be the difference between Lutherans and Methodists in the US or Lutherans and Methodists in, say, Sweden.