Bitcoin doesn't need petrodollar warfare like the dollar does.
"Both" is because guns beat bits. Or, to put it another way, if the USA had used Bitcoin instead of dollars in 1960, the Soviet Union would've been just as much a threat, and similarly the forced nationalisation in Cuba after the revolution would've happened no matter who recorded what on any blockchain.
"Neither" is because petroleum is just one of the major energy sources of the last century, vital for the industrial strength of the US economy and its capacity to actually make things worth buying (in addition to uselessly trinkets), but not the power source of the next century.