Selling to people on Localbitcoins is even more dangerous than providing your ID to somewhat 'legitimate' online exchanges in my honest opinion. You are letting random people see your face and possibly knowing the vicinity where you live. What about following you home and figuring out a way to kidnap or coerce you into giving them your big stash of coins? As the guy above me said when you go off the Internet your anonymity is gone immediately.
Some people afraid to be scamming by exchange,online investement and other,but they maybe never think what you think above,and honestly i'm also never think like that,its good warning for us,transaction people to people give more dangerous that transaction with exchange or investement site,we can be make our life in danger if some people have bad purpose to you. thanks for remind me