I brought up the fact that the protester weren't for banning coyote hunting they were protesting the fact that it is a game/competition.

This is the same group that showed up to protest or annual PM hunt, and it is not a contest. So don't be fooled that they only oppose contest hunts. They oppose all coyote hunting on public land.
"The recreational value of a head of game is inverse to the artificiality of its origin"

"No prize is greater than the effort taken to acheive it"

- Aldo Leopold, The Father of Wildlife Management