"Do you trust him to do the right thing?"
I absolutely do when the targets of his DOGE (interestingly, the title of Venetian merchant kings, back in the pre-City of London days) are the factions striving against the OG Dems that have conquered the relic Republican Party and contend with the NeoCons that the Democratic Party has become since Operation Wall Street was destroyed in 2012. However, Spacex has ~$22B in contracts with the DOD in effect today, and that's a lot of reasons to expect DOGE to be incapable of impartiality in an audit of the DOD that has been promised.
What we are observing is factional competition for power over the USG, wresting it from the NeoCons and not restoring it to Constitutional limitations as Trump's cult of personality proclaims. It is easy to see how they are bamboozled by the excision of absolutely intolerable fraud their saviour's enemies have inflicted on America and the world, yet it is not likely the reining in of these vectors for corruption won't simply switch the horses feasting at the trough. New boss, same as the old boss, wearing different livery, as usual.
You're not wrong that billionaires aren't impassioned champions of the sovereignty of Americans and the people of the world, but the NeoCons that have been mismanaging things for the last decade and a half aren't either. The one imposition of that sovereign power that Mao feared would present a rifle behind every blade of grass is hardly more palatable than suffering rank and obscene financial fraud, but the prospect of Stargate in the hands of genocidal maniacs is considerably worse.
I'd sure like some better options.