Facebook Question

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Hello, I had a quick facebook question that I did not see previously addressed. I apologize if people have offered responses that I could not find.

I am considering changing my facebook name from First Last to First Middle, for a couple reasons, the largest being the internet creeps me out a little in how many people have access to your information that could be potentially dangerous (not implying this site, I mean the psychos). Do you think it would be MORE dangerous though to do First Middle because it certainly narrows you down more, no? My First Last is not extremely common and I don't think anyone else has it (but who knows) but do you all see what I'm concerned about in terms of the First Middle being more identifying? Just wondering everyone's thoughts. Thanks, I really appreciate it.