As I said below though, these plans all share one common feature - they suck. I can't think of one that isn't either vanishingly unlikely or obviously stupid, and too stupid at that to be used even by a despairing child trying to save his girlfriend from a fate asymptotically approaching death.
If he's learned Avada Kedavra, there's always the option of blinding everyone with a super-Patronus and then committing mass murder until your side has a majority.
You don't need that particular spell to commit mass murder. Harry would likely use transfiguration or napalm. That said, Harry-who-can-murder is not Harry-who-can-Patronus.
EDIT: New discussion thread here.
This is a new thread to discuss Eliezer Yudkowsky's Harry Potter and the Methods of Rationality and anything related to it. With two chapters recently the previous thread has very quickly reached 500 comments. The latest chapter as of 17th March 2012 is Ch. 79.
There is now a site dedicated to the story at hpmor.com, which is now the place to go to find the authors notes and all sorts of other goodies. AdeleneDawner has kept an archive of Author's Notes. (This goes up to the notes for chapter 76, and is now not updating. The authors notes from chapter 77 onwards are on hpmor.com.)
The first 5 discussion threads are on the main page under the harry_potter tag. Threads 6 and on (including this one) are in the discussion section using its separate tag system. Also: one, two, three, four, five, six, seven, eight, nine, ten.
As a reminder, it's often useful to start your comment by indicating which chapter you are commenting on.
Spoiler Warning: this thread is full of spoilers. With few exceptions, spoilers for MOR and canon are fair game to post, without warning or rot13. More specifically: