Perhaps you might examine the various way in which queer people in general have been marginalized by labelling all their activities as obscene and sexual. For example, you might take the example of teachers in Florida who are in a same-sex marriage being prohibited from mentioning their marriage lest they be sanctioned for sexual content, while teachers in straight marriages were under no such restrictions. Similarly, the existence of queer people itself has been deemed so sexual by some that even mentioning to a child who is struggling with their identity that queer people exist has been called--in all absence of reason--child abuse.

If you can take those example, and then consider that your perspective of furries, much like homo- and transphobes' perspective of queer people, is skewed to view it as entirely sexual despite all the parts that aren't and classify the parts that would be normal sexuality in any other subgroup as deviant. This, as you might be able to deduce, can be quite restrictive of those people's "allowed" place in society.