The most recent continuing resolution authorized the President to begin sequestration and placed the national budget on emergency deficit reduction. That was in section 1113 of the law.
Under sequestration, the President is given emergency powers to "fix" the budget and the funding automatically matches what the President says. No need for any additional votes.
So Congress already gave him the green light to do whatever he wants and Congress has already pre-approved it. Now the Department will still be there in name. Senate confirmed officials will most move into advisement roles, but yeah after that last CR, Congress gave Trump the thumbs up to go hog wild.
Now sequestration is a process so I'm sure there will be flights over the process, like on what date an agency is sequestered, the published scope, etc. But Trump has the ability to sequester the full amount for the Department of Education and Congress says the budget automatically will adjust to meet whatever he determines.
A core principal of a martyr is being widely liked. No one gives a shit about this dude. Even the people who he surrounds himself with don't give a flying fuck about the dude. Musk himself makes every interaction with him transactional. Add in his default behavior of being an 11 year old edgelord wrapped in a 50 something whale body with hair plugs that's awkward as fuck to be around, and yeah it's not hard to see why nobody likes this fucking billionaire with attachment issues.
Dude needs to ditch the ketamine and perhaps get actual therapy. And actually having a better diet and exercise regimen wouldn't hurt either.