J.D. Vance seems to be following the beliefs of distributism, advocated by the British Catholic authors Hilaire Belloc and G.K. Chesterton. Distributism is not necessarily contradictory to protectionism, but the former line of thought favors decentralized economic power while the latter tends to favor economic concentration by reducing foreign competition.
Distributism is not confined to Catholic circles. The Social Credit Party of Canada, which was led by low church Protestants and was strongest in western Canada, advocated distributism, as did Huey Long of Louisiana, a Baptist.
I get the impression that Vance is on board with the same program, perhaps combined with a stronger anti-trust line against corporate mergers and collusion. I don't see this as inconsistent with Federalism, since tariffs do nothing to stifle competition within a country - indeed they can aid the process by preventing outsourcing and favoring foreign investment into the US (i.e. other countries building their plants here).
One could argue that William Jennings Bryan was also a distributist.