The quotes are really nothing to do with copyright.

Quotes are like reporting -- they (the people) can't copyright something just because they said it. I can quote what you say, you can quote me -- there's nothing there actionable. (People do sometimes trademark quotes, but those are for limited use scope -- must definite usage -- and again, trademark, not copyright, so can still quote them).

Was the quote from a magazine article? Well then yes, the magazine has the copyright to the ARTICLE, but a quote from it would (I think most lawyers feel) be perfectly fair use.,

In no way on that site do I see an actionable copyright claim on the people being quoted (standard I'm not a lawyer though clause here)