It's very popular, since most Americans don't have anything significant in savings for retirement.

"Eight in 10 Americans think Social Security has been good for the country, with 70 percent of young adults agreeing and almost nine in 10 senior citizens saying the same."

http://www.politico.com/story/2011/09/poll-social-security-s...

You could probably find people who like it among those who are receiving checks from it. I think SS is a good place to consider Chesterton's Fence: before removing something, you have to explain and understand why it's there in the first place. Incidence of senior poverty has dropped since SS was implemented. Maybe it's not so much that people like SS as that they weren't comfortable with the poverty of their elders that they saw before implementing SS.