Paedophiles who watch child porn and campaign for the age of consent to be lowered, associate with each other or who attempt to normalise their paraphilia are not the good guys. They should be prosecuted if they commit offences and regarded as at risk of offending if they genuinely believe child abuse is OK. Otoh paedophiles who avoid child porn, stay away from other paedophiles so that they don't end up developing group think, don't try to normalise it and avoid situations that would provide opportunities to act on their paedophilia (and that includes having children themselves) deserve, I think, to have some sort of support/accountability structure in place and access to medication if wanted. It's possible that if more of them got that intervention early in their lives it might go some way towards helping the issues discussed in the OP.
FairPhylis: The non-abusing paedophile could find private support. I doubt he/she would want to go to an advertised group like AlAnon (because of the stigma, true, but then lots of alcoholics wouldn't go to AlAnon for the same reason - PIE was not a self-help let's get cured group it was a let's find more ways to get access to children help group let's be clear) but they could seek private individual counselling and if their inner conflict was finding physical expression in self-harm or depression for example, they could start by seeking help for the symptoms of their misery and work backwards. It's what most people do in any situation where they have an inner conflict between values and behaviour. I'm sure the sruvivors find themselves not wanting to have to seek help either and ashamed but many are brave enough to have to find it for themselves, if it's available.
Also the non-abusing, no-image watching paedophile , this isolated fantasist of a paedophile whose sexual urges find no outer expression, not even an interest in childish things or a tendency to live next to playgrounds, let alone acquiring of images of child abuse won't ever get caught. Because s/he has done nothing wrong. They have effectively safeguarded themselves.
How many people have sexualities "in theory"? How many priests do we think keep the celibacy vow for example? The flip side to accepting the desire to sexually abuse children (even technically where consent is just not legally possible to where consent would not be physically possible - not capable of speech etc that has to form part of any debate) as a "sexual orientation" is ascribing it the civil and human rights such a status attracts. I can see certain human rights lawyers going down that trajectory. But as an essential immutable part of an individual's identity (hence why protected by civil liberties) that we accept ppl can't change we also have to accept that all the therapy in the wrold we sink our money into won't change them or their political beliefs if they subscribe to the PIE sense of entitlement to abuse of children. You only have to read how they ditch these boys once they begin to have facial hair and how heartbreaking it is for them to sometimes be then expected to recruit their younger more innocent unhairy replacement. That's when they realise they weren't looking for an old man lover as a 10, 11, 12, 13, 14 year old. They were looking for a dad, a sense of affection, interest in their life, someone to sponge cigarettes off and nag for records like an older brother.
And back to Parliament: Is there a correlation between power, risk-taking (to make big gains you need to take large stakes), control and politics that means there's a psychopathy to the abuser in power that society is not currently equipped to deal with, right through from libel, freedom of press, ie. like the banks were too big to fail and our FS regulation came into question as being out of step with the size and scale of the markets and their players - are we now in a situation where we (joe/jospehine public, ladies of the clapham omnibus) our anachronistic criminal justice system and similarly out of step civil laws (secret courts, libel law though see recent defamation bill) means we have people who are simply too big to prosecute? ie the CPS argument policy for not prosecuting Sir Peter Hayman was look how high prfile they are, they have so far too fall, just the public humiliation is disproportionate as a punishment and therefore we will not pursue prosecutions at all in those kind of circumstances = which is surely just another way of saying "too big to prosecute?"