In a recent booking, CX no longer ask for the credit card to be presented at the airport. (all previous booking used to say, you need to present CC). I haven't used this new booking yet but i think there was a different system used (its not mastercard secured). And i fly out of LAX. (I carry that card anyway).
And yes its true, US debit/credit card have encountering a lot of compromises recently, included that Target one. I believe they are
tackling this one now.