I want to address a few points in this article by Brandon Adams. Adams seems to be suggesting in his second section (“Or is he?”) that other paedobaptists disagree with this statement (and the previous section) from R Scott Clark:
“The comparison and contrast is not between Abraham and the new covenant but between Moses and the new covenant. The covenant that God made with Abraham was a covenant of grace, the covenant he confirmed with the “blood of the eternal covenant” (Heb 13:20).”
He then notes a disagreement about Republication of the Covenant of Works. The problem is that even those who disagree with a complete republication would agree with Clark’s statement above.
Note Clark has written elsewhere:
“It is not the case that, because Paul associates circumcision with Moses, there is no fundamental difference between the Abrahamic administration of the covenant of grace and the Mosaic.”
So R. Scott Clark allows for the Mosaic covenant to be an administration of the Covenant of Grace, though a temporary addendum (Gal 3:17) to it. There really are no orthodox paedobaptists who disagree with this point.
The disagreement extends primarily to whether and how, the Mosaic covenant was a republication of the Covenant of Works, and the quotes of Winzer you supply following are addressing that issue, which is not really the view you brought up in your first section.
Later he states:
“Notice that Calvin speaks of “the covenant” in the singular. He is clear: The Old and New Covenant were the same covenant.”
But that’s simply untrue and Clark provides the proof. http://heidelblog.net/2014/11/calvin-on-the-distinction-between-the-old-and-new-covenants/
As Calvin states: “Hence, in general, the Old Testament [covenant] is the name given to the solemn method of confirming the covenant comprehended under ceremonies and sacrifices. Since there is nothing substantial in it, until we look beyond it, the Apostle contends that it behoved to be annulled and become antiquated, (Heb. 7:22,) to make room for Christ”
Both Calvin and Clark agree that the Mosaic and the New Covenant flow ultimately from the Covenant of Grace that God gave to Abraham.
In essence, none of his arguments really hit the target he intends. All involved agree that “Moses flows from Abraham”. The rest of the article then builds on these errors and misapplications.