BTTT
You're right; the Baptist church is an outgrowth of the Bible-based anabaptist movement, which was neither catholic or protestant.
True, but neither have most "PROTEST-ants" over the past 500 years. The label was originally given to those individuals who PROTESTED from within the Roman system after it was so widely-exposed in the 1500s.
It is true that the label "Protestant" continues to be used to describe Christians ["originalist" "fundamentalist" or "evangelical"] since that time but, since most professors of History are non-Christians and "educate" people accordingly, their ignorance has continued to permeate the minds of all who pass through academia. Even Christians are sometimes forced into using the "Protestant" label in discussions with non-Christians in order to help facilitate certain points of conversation. Further, some even use the "PROTEST-ant" term willingly, presumably to ensure that everyone understands that they are Bible-based believers, when the term "Christian" would be the most simple and accurate term to describe anyone who worships according to the Word of God alone.
Having said all that, however, it is true that Baptist organizations were never formed by those PROTEST-ants who came out from the Roman organization after it was exposed.
God Bless.