Hi Scruffy,
Your interpretation may be a little too literal.
If I get the essence correctly, the song is about the "fight" (or dance of love) between males and females.
Again, and perhaps the native French speakers can comment on this,
If you engage Alizée, do not expect it to be easy. It will be a battle. She is not a lightweight - she will engage fully and for keeps.
And don't cross her, or she will KO you (shred you - send you crying for your mother).