Why doesn't that make sense? The US did start several wars (plus a wrongfully deposed government or two) in the Persian Gulf for exactly that reason (that was until their shale gas revolution took off in the late '00s). Plus, a des-industrialised Germany (which is what this war will most probably mean for them) means a poorer Germany, means a more politically restless Germany, hence a higher risk of them getting rid of "principles" (or morals, as Martin Wolf pontificates about) and start looking at the bigger picture, at what's good for Germany and for the Germans.
Again, not sure how looking at this chart [1] from that same FT piece can make the Americans believe that the Europeans (or, more precisely, the Germans) can suck it up for the foreseeable future, all in the name of "democracy". This is a de-facto lighter version of the Morgenthau plan.