Americans broadly support a number of measures that were either employed by law enforcement officials during the hunt for the Marathon bombers, or have been suggested by lawmakers since. Some 81 percent favor increasing the use of camera surveillance on streets and in public places, while 79 percent say cops should use facial recognition technology to scan for suspected terrorists at public events. 

More than half of those surveyed -- 55 percent -- say they back law enforcement monitoring internet chat rooms. The only proposal to fall short of majority support was expanded government monitoring of cell phones and email, which just 38 percent of those surveyed supported.

"After 9/11, 54 percent of Americans favored expanded government monitoring of cell phones and email. Now, the message is 'hands off,' " said CNN Polling Director Keating Holland in a statement.

Still, Americans say they are more worried about becoming the victims of a terror attack. Of those surveyed, four in 10 say they are concerned someone in their family will be hurt in an act of terrorism. That's up six points from a survey conducted on the 10th anniversary of the Sept. 11, 2001, attack. Sixty-three percent of those surveyed also said terrorists will always find a way to carry out violence. That's up five points from 2011.

That said, only 27 percent of Americans said the Boston Marathon bombing, which left three dead and 260 others wounded, would make them less likely to attend large public events. By contrast, seven in 10 said they remained undeterred by the bombings.