That happens when you are in Facebook and have clicked the "Use Facebook As..." link and chosen a Facebook Page. The login with Facebook button (and some other social features) cannot be used when you are logged into Facebook as a 'Page'. Only real users can use some social features integrated into websites.
The 'Switch' link is Facebook's way of letting you switch back to your personal profile if you click it.
I hope that helps explain, but if not, just let us know.
Thanks,
Alex