I'll take a stab at this rhetorical question, even though I'm not a right winger nor an American -- just been reading up on their 'theories' and wackiness a bit.

From their ideological perspective, I imagine that the more nuanced response (ie. not the base's "GAY BAD!"), would be that the issue of crime/outliers exist in any group, but that the existence of a trans-interest specific movement is dangerous to the broader community/stability. Do republican pedophile incestuous mayors exist? Yes. Are they lobbying to change how government treats them / trying to get more privileges and special treatment to support their pedophile incestuous mayor collective? No. So the 'risk' to society of a one off criminal, is far less than the risk of a collective movement intent on dismantling social norms in favour of norms specifically beneficial to their niche members, and generally detrimental to the interests of non-niche members.

It's similar to Dave Chappelle's comments, about how he knows/likes trans people he meets on an individual/personal level, but he hates the "trans community". It's the collective community that they take issue with, as it aims to dismantle what they consider the norms of social life / public interactions.

To try and frame their issue a bit differently using a recent example: most educated folks know about people with Tourette's, even if they don't fully understand the condition. But there's a significant difference between understanding it / tolerating it within a limited context, and inviting someone with Tourette's to sit within mic shot at the BAFTA's and pretending everyone should be comfortable with it just because it's a disability. Being at a black-tie type event, and hearing someone scream the N-word at a couple of black presenters is uncivilized, but it's "tolerated" under the guise of these niche special interest groups. Just like everyone's been forced to "tolerate" fent users collapsed all over the place in many metropolitan cities, under the guise of "drug user rights advocacy groups" -- do people understand folks are addicted? Yes. Does that understanding make seeing them flopped out, shitting in public etc, a "civilized" experience? Nah.