These tweets are what the wingnuts are saying proves that Dzhokhar Tsarnaev is an Obama supporter:

I should of slept through this class, yes obama won and yea a lot of money wasspent #fuckpoliticalscience

— Jahar (@J_tsar) November 7, 2012

And he retweeted this:

This happened because of you. Thank you.

— Barack Obama (@BarackObama) November 7, 2012

And retweeted this:

What did Barack Obama say to Michelle when he proposed? “I don’t wanna be obama self.”

— Alan Garner (@AlanHungover) August 7, 2012

Those are the only mentions of Obama in his entire timeline.