Good question. Cite on the heritability of pedophilia, though? (I don't doubt it, but it needs evidence.)
I think pedophilia is probably a disorder, not an identity, simply because its expression generally involves harming an individual who cannot give consent.
Blanchard, R. (2008). Cerebral white matter deficiencies in pedophilic men. Journal of Psychiatric Research, 42, 167–183
Structural brain abnormalities in the frontostriatal system and cerebellum in pedophilia. 'Journal of Psychiatric Research, 41, 753–762
Bogerts, B. (2007). Brain pathology in pedophilic offenders: Evidence of volume reduction in the right amygdala and related diencephalic structures. Archives of General Psychiatry, 64, 737–746.
yay wikipedia, I'll try to do better when I some more time.