The Tekken developers are no experts in Polish politics nor did they want to get accused of parodying anyone in particular, so she doesn't have a party or any stated political positions besides animosity against the Mishima Zaibatsu and Tekken Force, but that's not going to stop me!
The name of this coalition derives from "Osu!", the catch-all martial arts greeting and therefore is just that same phenomenon with En Marche, Change UK or most infamously in Poland, KORWiN; it's one of Lidia's voice lines (0:30). The eagle's a piece of clip art I found which resembles the one on her top. The number of seats they have it literally the Civic Coalition's after the latest election, I couldn't be bothered to fine-tune it further than that.