OED defines 'Man' as:
"1. A human being (formerly explicitly irrespective of sex or age), a person. Now chiefly in general or indefinite applications, as in every man, any man, no man, (in pl.) all men, some men, many men etc.
2. The human race or species, humankind, mankind; Zool. The human race viewed as a genus (Homo) or species (H.sapiens) of animal.
3. An adult male person, as opp. to a woman or boy or both; an individiual (male) person."
And 'Human' is:
"1. Of, pertaining to, or characteristic of humankind or people; belonging to humankind; of or belonging to the species Homo sapiens.
2. a) Of, pertaining to, or characteristic of (the faculties of) human beings as opp. to gods or God; fallible; mundane.
b) Of, pertaining to, or characteristic of the activities, relationships, etc., of human beings, esp. as distinct from those of lower animals, machines, mere objects. etc.
c) Having or showing the (esp. better) qualities distinctive of or attributed to human beings."
Take your pick from each - I don't know what redefinitions the Catholic Church may have come up with, but from your post it sounds as though they're comparing the current state of humankind, with the potential of what it might become. Not sure where the 'elitist' aspect comes in, or what you think our "current situation" is?