More than a month after leaker Edward Snowden revealed information about the National Security Agency's surveillance and data-gathering programs, 56 percent of Americans say they're more worried the United States will go too far in violating privacy rights, according to the NBC News/Wall Street Journal poll.

Click here for full poll results (pdf)

That's a significant shift from the immediate aftermath of the 9/11 terrorist attacks, when an almost equal number in the Dec. 2001 NBC/WSJ poll -- 55 percent -- worried more that the United States wouldn't go far enough in monitoring potential terrorists who live in the U.S.

The last time the poll asked this question, in July 2006, Americans were split, with 45 percent worried that this surveillance would violate privacy rights and with 43 percent worried it wouldn't go far enough to pursue potential terrorists.

These new numbers come as the House of Representatives is considering an amendment that would defund the NSA's data-collection program.

As for Snowden, the NBC/WSJ poll finds that 11 percent of Americans view him positively, versus 35 percent who view him negatively.

That opinion is shared by Democrats (10 percent positive vs. 33 percent negative), Republicans (11 percent vs. 39 percent) and independents (11 percent vs. 33 percent).

The one demographic group most sympathetic toward Snowden? Respondents ages 18-34 (15 percent positive vs. 20 percent negative).

The NBC/WSJ poll was conducted July 17-21 of 1,000 adults (including 300 cell phone-only respondents), and it has an overall margin of error of plus-minus 3.1 percentage points.