I think it's a little late for that in our lifetimes.
DOGE is popular because the American people have been conditioned to hate government for generations. There is no pro-government Progressive Era or New Deal grassroots movement right now. As long as the average American isn't the one being let go (and most people don't work for the government) then they're completely fine with nameless bureaucrats getting the axe. Hell, not just fine, they're all for it. "That's my money"
Ukraine vs Russia? "That's my money" and we're not conditioned to understand complex international conflicts or the way that military procurement works.
USAID? "That's my money" and we're not a nation that understands the long game (look at our collective retirement accounts)
Immigration? "That's my money" + "They're different than me" Nativism is nothing new and scary foreigners is one of the classic hits in the American album
Asking the most selfish people on earth to suddenly care about others with their wallet is just not going to happen, imo.