It's actually 2.0? All this while I was under the impression that it was 3.5! :O
I think 3.0 is a fair number, but I'd also like to suggest a slightly more idealistic way of looking at things. The type of courses taken for a grade should be taken into account - for example, it's not really fair to compare a student who takes easy electives just for the sake of bumping up his/her GPA with one who takes classes in areas he/she has never explored before out of curiosity, or with one who takes more classes than required. Also, not all universities weight their courses the same way (or at all) so comparing GPAs of students from different schools might be a little iffy. Though this is all very subjective, and I doubt the scholarship bodies would find it feasible to sift through each and every scholar's transcript holistically.
I like the trump card idea, though. And I don't think you're being too harsh. 3.0 gives a fair allowance for occasional Bs or Cs - and they should be the occasional, rather than the majority, of grades in a scholar's transcript.
All this is, of course, based on my limited experience with the American university system (and since I attend an institution which does not give out GPAs, I'm not really qualified to speak about this