We know that the US pays $ for oil, that is her currency of course. The point at issue relates to other peoples' use of the "petrodollar", and I believe that many commentators - not to mention many conspiracy theorists - are labouring under a misapprehension as to the importance of the $ for denominating oil prices.
That having been said, an unHoly Trinity of:
(a) US massive over consumption of oil; (b) continuing growth of non-US global oil demand; and (c) the fact of a maximum level of global oil production (whether it is called a "peak" or a "plateau" is semantics);
will IMHO lead to a breakdown (slow motion crash if we are lucky), in the current global financial system and arising out of a discontinuity in the Dollar/Oil relationship. Within 2 to 5 years, I believe.
I don't think that the charts you have kindly supplied are inconsistent with that thesis.
They couldn't, because that thesis is the whole point. Vencit omnia veritas.