While there are protests against intervention in Syria, in general the movement seems to be a lot weaker under Obama.
If you guessed that this had something to do with the fact that Obama is a Democrat... you'd be correct!
In 2011, Professors Michael T. Heaney and Fabio Rojas published a study titled: The Partisan Dynamics of Contention: Demobilization Of The Antiwar Movement In The United States 2007-2009 which looked at nearly 6,000 surveys of anti-war demonstrators between January 2007 and December 2009.
This one chart basically tells the whole story. The percentage of Democrats attending anti-war protests collapsed at the end of 2008, and in early 2009.