A lot of people on both sides of politics have fallen for fake Facebook pages purporting to be Jared Lee Loughner's. There are at least a dozen fake pages so let's look at some.
JD gave a link to this one.
Profile ID = 100001952074770
The major give-away that this is not the shooters Facebook page is that it was created after the shooting.
The second give-away is that the faker spelt the shooter's name the way that the press originally reported it before they corrected themselves. The name is wrong.
I saw another fake that had the shooter worshipping "Sara Palin". I have not seen a Loughner Facebook page that wasn't created after the shooting. Another has his inspirations as:
Chairman Mao, Che Guevara, Noam Chomsky, Kenyan-born Barrack Hussein Obama (that's how it was listed on the site), Saul Alinsky (who?), Hugo Chavez and Joseph Stalin.
Which sounds like a right-wing's idea of who left-wingers admire. The "Kenyan-born" part is a bit of a give-away.
People on the left fell for a fake voter registration that had the shooter as a Republican.
EDIT: The Right is still posting fake Facebook pages but the one slightly-left site that linked to the fake voter reg only did so for about 40 minutes before issuing a correction.