I think that the first step is to be univocal in what we mean when we talk about strategy. JTF posted a definition. JP 1-02 has a different one, culled from JP 3-0:

A prudent idea or set of ideas for employing the instruments of national power in a synchronized and integrated fashion to achieve theater, national and/or multinational objectives.
This is not quite the same as JTF's position and, I submit, may well put the notion of doctrine as pre-eminent, especially if we happen to identify doctrine as, "a prudent idea or set of ideas for employing the M in DIME (the instruments of national power)."

I suspect that doctrine often drives strategy. For an example, check out Robert Doughty's work on the French in WWI, Pyrrhic Victory. I submit that he argues that the French doctrine drove how the force was equipped, which in turn drove the techniques and planning the French used to respond to the Germans' invasion.