The relationship between the Episcopal Church and the Anglican church is a bit more complicated than the "American version of the Anglican church."
See, the Anglican church initially refused to basically ordain any priests over here. There was, however, the Scottish church, which was called the Episcopal Church, was perfectly willing to ordain priests for us.
So while it's all part of the same communion, the American church is technically religiously descended from the Scottish church instead of the Anglican church.
Also, one of the nice things about being an Episcopalian is that you're expected to be respectful, but not obedient towards your religious authorities, especially the ABC.