I prefer pendulum theory.
While Obama may not be the President, we're still very much living in the world that he crafted for us - especially as it relates to foreign affairs. And it should be undisputed that his particular policy on Syria led us to Thursday's missile strikes. By the same token (as you have been quick to remind) Obama's policy in the Middle East was largely forced by President Bush, who chose to go there, in part, due to mistakes that President Clinton made by ignoring a man that 41 made strong. And the thread continues to unravel much along these same lines across decades and administrations.
At the end of the day, though, you are going to be hard pressed to find a corner of the globe where Obama's 'reticent' foreign policy strongly positioned this country going forward. Put the blame for that at whoever's doorstep you'd like, but our foreign agenda is a mess.
North Korea = Stronger
China = Stronger
Russia = Stronger
ISIL = Stronger
Iran = Stronger
Threat of Terrorism = Higher
Now, you can get hung up on 'cool-thinking' vs. 'impulsiveness' and these kind of extraneous character judgments all you like, but I'm personally more interested in meaningful policy direction.