"I do see both sides, but I'm not sure hunting cats is the answer," said cat owner Lisa Hanson of Brown County.
Even some hunters said they do not see cats as a big concern.
"I just don't see a problem with what they're talking about, the feral cats," said Pete Petrouske of the Brown County conservation committee. "I mean, how many people have ever seen a feral cat? I've never seen one, and I've been out hunting a lot."
Because of that, Oestreicher said, people may be overreacting if they imagine that hunters are going to grab their guns and go prowling for cats.
He pointed out that cats are nocturnal predators, and therefore not a very attractive target for hunters.
As he sees it, the issue really is about sending a message to cat owners.
"We are not advocating a hunting season or the shooting of cats," he said. "We're hoping it's a wake-up call to pet owners to be responsible. This is really to get the attention of the pet owner that when you get tired of your cat, don't take it out into the woods and dump it."
ABC News affiliates WISN-TV in Milwaukee, WBAY-TV in Green Bay and WAOW-TV in Wausau contributed to this report.