As usual, Im with the skeptics on this issue.
Look at the tsunami in Japan, the earthquake in Haiti, even Katrina in your (American) backyards. As soon as something is forgotten by the general public, then the news makers, the policy makers, and the publicity makers stop caring, and the issue is completely forgotten about. Nothing can be solved by this method, but as another poster suggested, "grab a gun and fight the war yourself". This most likely wont help either, as what can the average citizen do against a group of militia who have been trained since childhood to be as remorseless and sinister as their leader? You for yourself have seen what these soldiers are capable, and willing, to do. And you want to send troops in to aid in the downfall of this man?
This is another problem I see with this. Look at the middle east now, and the middle east from the 80's as one poster mentions. The US (AFAIK) practically armed people like Saddam Hussein and Bin Laden, Im no history expert, and feel free to correct me if I am totally off point here. What happens when the leaders of the Ugandan army who are already reportedly corrupt take over these parts of these other countries where this group operates? You have just replaced one bad group with another, only this time they are better trained, better co-ordinated and better armed.
It is as another poster said, you cut off the head, and another one grows. Look at the list of criminals from the very movie that you all cite, who is number two? Another Ugandan, most likely a warlord, similar in nature to Kony, only most likely, more ruthless and more of a threat to the Ugandan people, and the people of Africa as a whole. Look at North Korea for evidence of this. Look at Al Qaedas new leader for evidence of this.
History repeats itself, and this is what is happening here.
The way I see it, by the time 4/20 (an interesting date for a protest, I believe some of their supporters may have a clash, look at history for more examples) arrives, there will be little to know public interest about this issue, and it will just be another global pity-fest that will go by the wayside with nothing that has really been done about, save for a few thousand people that invested themselves too heavily in the cause and have gone past the point of no return.
Edit: Something interesting I also wanted to point out:
Find Uganda on a map.
I got it with 2 seconds to spare on my first try. My cousin lives there. Though he probably couldnt point it out either.