I would say it’s more that they recognize furries are largely a queer subculture (regardless of the fact that straight furries exist) and correctly recognize it as less objectionable to most people’s sensibilities to say you’re getting furries removed from schools by animal control than it is to say you’re getting queer kids removed from schools by animal control.

I mean, furries have been targeted by the right for a long time, but they are nothing if not famous for winning the battle but losing the war when it comes to trying to stamp out subcultures they don't like. They've finally given up on trying to legislate homosexuality away, so now they're turning their attention to a less understood and more marginalized subculture of individuals. They'll give up on that eventually too when they realize they'll never win and turn their attention to the next vulnerable group to rally and galvanize their base.