Ali,
That reminds me of a typical American reaction - what you are really saying is "fly American carriers".
Leaving aside 11th September 2001, there have been in my recollection many frightening, often fatal incidents involving US carriers too.
Perhaps don't fly is a more logical - though totally irrational mantra. Come to think of it, don't drive, dont walk - in fact better still stay in bed - but hey..., what if the roof of the bedroom falls in!