Secretary of the treasury is one of the original cabinet posts and remains so. It dates to George Washington, whose secretary of the treasury was Alexander Hamilton - a century and a half before the world bank (formed after WW I) or the IMF (formed after WW II) existed.
The treasury's funds are deposited at the federal reserve, not the world bank or IMF. The US has a modest SDR account at the IMF and is a creditor to both it and the world bank, but all of the transactions accounts of the treasury are handled by the Fed.
This post is yet another example of the general proposition that populist finance-haters will believe and spread any lie imaginable if it defames the US government and American capitalism. This isn't new. It has been the sport of wild idiotic conspiracy theories for decades, and in some forms dates back to Jackson's presidency - but you will notice democrats have usually been behind peddling it.
Excellent post!
Moreover I think the phenomenon you perceptively call the "finance-haters" is a movement with roots even farther back, since Thomas Jefferson was well known for his opposition to banking -- something he associated with his arch-enemy, Alexander Hamilton.
It's really quite an interesting story, with a fairly consistent line of thought that runs from Jefferson to Jackson to W. J. Bryan to Congressman Wright Patman to Ron Paul and his bedfellow Alan Grayson. I wonder if any scholar has written a comprehensive history?
(If I had the smarts and energy to write such a study, I might title it Undying Suspicion: Bank Hatred from Tom Jefferson to Ron Paul.)