How would cutting spending be a parasite? The goal is to cut spending.
Trump doesn't have the authority to create new federal agencies, so he claims to have repurposed the authority of an existing one, retaining only the shell for appearances. I don't think that can possibly be constitutional - it entirely defeats the point of Congress having that authority, and is effectively a line-item veto if the law can say "this agency will exist for X purpose" and the president can simply ignore the "for X purpose" - but it doesn't matter if neither Congress nor the courts are willing to do anything about it.