The Supreme Court seems to agree. For example, "The supremacy of the Constitution as law is thus declared without qualification. That supremacy is absolute; the supremacy of a statute enacted by Congress is not absolute but conditioned upon its being made in pursuance of the Constitution. Carter v. Carter Coal Co., 298 U.S. 238 (1936)
Or "...the Tenth [452 U.S. 264, 287] Amendment requires recognition that 'there are attributes of sovereignty attaching to every state government which may not be impaired by Congress, not because Congress may lack an affirmative grant of legislative authority to reach the matter, but because the Constitution prohibits it from exercising the authority in that manner." See Hodel v. Virginia Surface Mining & Recl. Assn., 452 U.S. 264 (1981) and Heart of Atlanta Motel, Inc. v. United States, 379 U.S. 241, 262 (1964)