So the same body that was at Nicaea was the same body that endorsed the book of common prayer and a reformed understanding of Christianity?
When do people inherit from themselves? You asked whether Protestants have an ecclesiastical
inheritance, and certain parts of Protestantism do. It might be useful, at this point, to mention that the Nicene Creed
is in the Book of Common Prayer, and that we do still recite it as part of our liturgy (admittedly including the Filioque, although some of us skip that part).
Other parts of Protestantism have repudiated their heritage, but, even then, I cannot think of any Protestant group which truly has
no inheritance from Catholicism, Orthodoxy, or the Early Church.
As for a “reformed understanding of Christianity”, that does not apply very well to Anglicanism at all, since a) we’re very broad, b) we (generally) do not hold to
sola scriptura, and c) we are (generally) not Calvinist.
You claimed, “Protestantism has to insist all that matters is faith and not community so much.” Like the vast majority of claims about Protestantism, this fails by universalising a characteristic found only amongst some.