However, I think there is an underlying point to it being "Obama's War" in that Obama doesn't care if we win, in fact, he may not want us to win. He'll manage it in a way that loses US and Allied soldiers and hold on to it until he can decide, politically, that enough is enough.
I would agree with your analysis..
Ask the Russians about Afghanistan.. whether Obama wanted it or not, it is his baby now..
Steele may have overdone his remarks just a wee bit.
Bingo. Fight to win or pull out.