i've used it before to get me through sticky situations... it's one of those paradoxes in AA, though. i see what you mean about full admittance of powerlessness contradicting any idea of "thinking things through", but i can also see how when i'm in a tough spot, i choose my thoughts.
i choose to pray. or i choose not to. either way, i reap whatever i sow.
with that said, i am powerless over people/places/things. i am not powerless over my actions or my reactions, and that's where that slogan fits into my world. plus, if you play the tape through at a coffee shop with some of your sicker AA friends, it can turn into a really funny game.