By definition the dance means doing many assur things. If you skip all that, it isn’t a mazinka dance. You dance with your youngest child during the entire wedding too, that doesn’t make it a mezinka. It is more than just the broom/sweep, it includes mixed dancing with both parents in the same circle, etc. The mezinka is the type of dance that originated under that name by the frei Jews. A Torah Jew shouldn’t be associating with that anymore than with any other “kashered” junk from the Reform.
