There's a huge problem with this.

For many people, it's creepy to "search out" and find you. Making an initial contact on the internet is a far bigger hurdle in a tight social network like facebook than it is in real life.

For myself, Facebook Groups have actually already done a great deal to put me in a setting with a bunch of new people that I can relate to... and I have made friends that way. From group projects, to school groups, to interest groups. You get to know each other surprisingly well.

Search requires initiative. Initiative is very uncool.