Yep, "showdown" does remind me of western movies. Like "Showdown at the OK-Corral"..

On the other hand, we also have another western word - "hoedown" which refers to western dancing or "square dancing." And then there is "throwdown" which rhymes with hoedown and showdown and has to do with a competition between rappers or breakdancers.

Miley Cyrus, apparently, had a hoedown throwdown which caused quite a showdown!