Many judges will not allow mention of jury nullification[1] in court. The jury is instructed at as long as you broke the law, they must find you in violation.
There's also the fact that you went through a trial that counts against you, even if it shouldn't count against you. Even being accused of a crime is a crime in and of itself in the court of public opinion. Being accused of paedophilia is an extreme example of this (i.e. doesn't matter if you are or not, the claim makes you 'tainted' and people will always wonder).
There are many objections that can be made to this line of argumentation.
1. You will not, in fact, sit before a jury of your "peers", especially if you are knowledgeable about the law. Juries are generally selected to find the most pliant, least informed individuals.
2. Juries are not immune to the problems of group mentalities. You could easily be in a situation where a majority of the jurors, if asked on the street, would never consider such an act criminal, but when placed in an isolated group with one or more authoritative-sounding busybodies, will agree to convict (see the Milgram experiment).
3. Jurors are specifically instructed to evaluate the case on its merits (does the law as written apply to the act committed by this individual?), and to disregard personal opinions and feelings about the nature of the law itself. This is related to the discussion on "jury nullification" by other posters.
4. A trial is an exhausting, humiliating, and possibly financially devastating process. You will not even get the opportunity to present your case, if you are under duress from the circumstances created by the prosecution and agree to a plea bargain instead.
There's also the fact that you went through a trial that counts against you, even if it shouldn't count against you. Even being accused of a crime is a crime in and of itself in the court of public opinion. Being accused of paedophilia is an extreme example of this (i.e. doesn't matter if you are or not, the claim makes you 'tainted' and people will always wonder).
[1]: http://en.wikipedia.org/wiki/Jury_nullification