Am I strange if I am not on Facebook?

[aero]

Facebook won't hinder you in the job market.
As some answerers have noted, wall posts or photos that frame you in a less-than-good light will only work against you. (though you can close off the wall function and control the photos posted)

What only matters is showing the prospective employers that you can demonstrate communication, team work and good social skills, and build social/business networks (assuming the job requires this kind of thing). .