Okay, not literally Patrick Jane... but the same photograph might work.
As far as I know, we don't really know much about PJ's childhood, except that he worked as carny with his domineering (some might say abusive) father, Alex. Although Alex seemed to wear a wedding band, nothing was mentioned about PJ's mother or any possible other family members.
Now, this is a gigantic what-if, but what if, when Alex and his unnamed wife split, each took a child with them? Alex took Patrick... What if unnamed wife took Patrick's twin brother, who grew up to become Red John?
In so many ways, RJ is like PJ's evil mirror image. What if that's true more than just metaphorically? I know it doesn't fit neatly with the list and such, and many might argue that it would be like the writers were cheating if they pulled that trick.
But it would also explain an awful lot...
Imagine if someone very much like PJ used his skills for actual evil and control over people, not content with stopping (as PJ usually did) at mere graft and deceit. There's a reason why so many people kept coming back to the idea that PJ himself might somehow be RJ: it's because PJ's personal traits and skill set are almost ideal for being RJ.
It would explain why PJ fits all the physical traits that have been hinted at about RJ.
It would explain why Simon Baker provides the voice and body-doubling for RJ, and RJ sounds very much like -- but not exactly like -- PJ.
It would explain (tongue-in-cheek) why so many RJ allies remark on how similar RJ and PJ are.
And here's the hair-raising part...
Bruno Heller has said that RJ has been around from the beginning, but that we don't see him all the time. If RJ is PJ's twin brother, and especially if RJ also has allies/followers in law enforcement agencies including the CBI (and therefore could keep tabs on where PJ's location, assignments, etc.), he might actually be able to masquerade as PJ at times (to get into his office, or question a witness, or talk to a psychiatrist...).
It would open the door to the question: Has every scene we've seen with Patrick Jane really been Patrick Jane? Perhaps he's been able to hide in plain sight -- in part -- by using a tactic that twins have used to mess with family and friends since time immemorial.
Likely? Maybe not. But it would certainly put an unexpected twist on things... :)