Yes. The Bill of Rights satisfied the Anti-Federalists concerns enough that they agreed to ratify the Constitution.
The required details about Anti-Federalists is mentioned in below paragraph.
The Anti-Federalists opposed the adoption of the United States Constitution in 1787 because they thought the new national government would be unduly powerful and threaten individual liberty without a bill of rights.
Because they associated British persecution with strong governments, many Anti-Federalists favored a limited central authority.Others wanted to further democracy but were concerned that a strong government would be in the hands of the wealthy. They felt that the states were giving the new federal government an overwhelming amount of power.
Anti-Federalists, a loose political alliance of well-known politicians like Patrick Henry, who unsuccessfully fought against the powerful central government envisioned in the United States Constitution of 1787 and whose protests resulted in the insertion of a Bill of Rights
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