I did not propose that my views represented "some kind of norm", but it seems to me that is what you are doing.  But, perhaps, I misunderstand.
I don't know with what the vast majority of Americans identify, because I have not spent sufficient time reading polls and articles regarding the matter.  What I do know is that Bernie received many, many small donations from individuals.  Berni's positions are relatively progressive, so that would seem to say something about his level of support.
I have some theories about why the progressive wing of the party is not better organized, but those are beside the point.  My point was that many progresives are far more moderate than others tend to assume.