Pedophilia isn't illegal so of course they're entitled to civil rights like everyone else.
Child sexual abusers on the other hand, are breaking the law, and even if it weren't illegal it's still immoral and unethical.
That's like saying "tigers on the loose aren't illegal. It's just when they start killing people and their pets that it becomes illegal".
There's a very thin line between a pedophile and the act of pedophilia. They are some of the most aggressive and intractable of the sexual orientations we find under the LGBTQ umbrella.
The act of pedophilia is loving children. That's it's become synonymous with child sexual abuse is unfortunate as most who work with children are pedophiles.
Word wasn't coined to describe sex with children. It's become that but in the same way 'terrorist' has become synonymous with arabs or Muslims.
"pedophilia (n.) Look up pedophilia at Dictionary.com
1900, from Greek pais (genitive paidos) "child" (see pedo-) + philos "loving" see -phile). First attested in an abstract of a report by Krafft-Ebing."
Lovers of children who're strictly defined pedophiles include teachers, daycare center operators, those pohotographers who come to public school for picture days, etc. to say nothing of those who advocate the protection of children and the punishing of child sexual abusers, the antithesis of pedophile. Not loving children if you're harming them.