First, many of Meiling's poses are simply real martial arts moves.
Second, Meiling in the fighting games is a joke character in the tradition of
Dan Hibiki. She may make as many grand gestures and heroic faces as she wants, but she's still a goofy person with a fighting style not suited for Gensokyo. The two poses she often assumes in her Story Mode, "standing with wind blowing" and "uppercut", are both references to Dan and Ryu.
I'm not an expert in either martial arts or fighting game history. Someone more enlightened should be able to tell you more, such as the real world names and purposes of her moves.