What we're seeing now isn't exactly the power of capitalist oligarchy but right-wing populist authoritarianism. They forge alliances with wealthy figures to achieve goals and engage in a corrupt patronage system like in an undeveloped country, but if this were a capitalist coup we would not be seeing anything like the absurd and illegal tariffs, brutal response to immigrants, etc.
I know leftists like to describe these sorts of phenomena (including Hitler's rise) as all part of the capitalist overlords' master plans, but that's not the most accurate description. Capitalists like Andreessen will cynically exploit it and hop on the bandwagon and benefit from it to the extent they can, but right-wing populist authoritarianism is its own beast, and they're just trying to position themselves as along for the ride rather than in its jaws. The regime is happy to reward capitalist loyalists and I do not deny there is a mutualism occurring, but it is more complex than a movement centered around capitalism.