LA's Skirball Cultural Center is doing exactly that with the help of the British Theater Company Subject to Change, called "Home Sweet Home". Museum visitors get to influence what gets built, who lives where, and what business are allowed in. Here's an excerpt from GOOD:
Visitors were of course drawn to the beach and to Hollywood. Watts Towers was decorated but no one moved into the neighborhood. Participants created numerous business and civic ventures: movie theaters and coffee houses; organic farms and food stores; an art gallery complete with miniature paintings; a hospital, and an In-n-Out burger fashioned from a banana. Unsurprisingly, high-schoolers contributed a marijuana dispensary. And as further evidence of Angelenos' political passions, protests were organized against everything from the BP oil spill to a fish shop that was selling whale meat.
It's a very interesting concept that obviously invites the discussion of immigration (especially given that it's LA). Without getting into the politics, here are some numbers on the impact and magnitude of immigrants in the US:
Interesting to note that Nevada has a higher percentage of their labor force that is illegal than California does.