I would not call the aggression fighting but rather foreplay. Unlike the Klingon example, none of the participants would be. It would require too much energy to heal wounds and to develop an embryo. That would be disadvantageous. In skunks, as in all mammals, sperm are cheap.
Males only have to inseminate the female and their work is done.
So it is to the male skunk's advantage to find as many females as possible. After copulation fertilization the females become extremely aggressive toward males, and will do serious damage to a male in order to protect her investment. The heat cycle in these animals as a result will be spread out over several months. If a female has not been stimulated to ovulate, she may remain in estrous for a longer period of time. Skunks have many natural predators.