WI: Abrahamites survive into the present

What if the Abrahamites managed to survive into the present day and even gained a reletively large following in much of the western/westernized world?

The Abrahamites were an 18th century Deist sect in Bohemia who professed to be followers of the pre-circumcised Abraham and declined to be classed either as Christians or Jews. They believed in one God, but rejected the Trinity, original sin, and the perpetuity of punishment for sin, and accepted nothing of the Bible except the Ten Commandments and the Lord's Prayer.

http://en.wikipedia.org/wiki/Abrahamites
 
I can't say much about them, but I find it interesting that they claim to follow the beliefs of Abraham, but accept parts of Judaism and Christianity that came around more than a thousand years after Abraham made the Covenant.

It almost sounds to my uneducated mind that they were sort of like a Bohemian precursor to Unitarianism. If that is true, their best bet would have been to either stay quite or emigrate to England or the U.S., but would they have been accepted in either?
 
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