The House GOP has taken its own approach:

House Republican whip Eric Cantor has been subject to similar eye-rolls from the Left for YouCut, his office’s anti-spending overture to plugged-in Americans. But while the program is a tad gimmicky, it’s also politically and technologically savvy.
Cantor debuted YouCut [in May]. Its premise is simple: Each week, Americans can vote for their favorite of five potential spending cuts on the web (or via text message to 68398). Cantor works to bring the winner to the House floor. With one click, you can help to shape the House GOP agenda.
“It allows us to focus on out-of-control federal spending, the number-one issue for millions of Americans,” Cantor says. “For us, it is an unprecedented online project.”

YouCut reached 1 million votes in late June.