>And pictures and letters and cohabitation and friendship and mutual business arrangements and the list goes on

At best that proves he's affiliated/associated with a convicted pedophile. Going from that to "we can upgrade it to the much more direct fact "President Trump is a pedophile who liked to rape little girls" is a massive leap. There's plenty of other famous people who turned out to be sexual offenders, but we don't go around accusing their entire circle of being "pedophile who liked to rape little girls".

>The court of public opinion is not an actual court.

Good. The court of public opinion has shown itself to be massively partisan. People's evidentiary standards change on a whim depending on how much they previously like/hate the person. By invoking the "court of public opinion" excuse, you're basically admitting that there's weak evidence for the allegations, so you need a lower bar to "convict" someone.