Being fair to the NYT (a paper I've never much liked) Elon's position of 'petulant animosity towards the left and centre-left' and 'alternating between facilitating Nazis and taking fright and backing away again' all while doing serious damage to his own financial interests, wrecking the business he just paid billions for, and giving little sign even he has much idea why he's doing any of this...doesn't seem to fit into any traditional ideological category that I'm aware of.
Closest comparative I can think of might be the conservative aristocrats and rich industrialists who backed Hitler in the delusional belief he'd be their docile puppet, only to end up losing everything they valued in the ensuring maelstrom. And even that doesn't pin down the ideology involved, just the stupidity.