Matthew Green and Paulo Barreto were making fun of this on Twitter. No, the use of a hash does not mean bitcoin will survive quantum cryptanalysis. As Green --- not a stranger to the workings of bitcoin --- puts it, "if the elliptic curve discrete log problem is solved, bitcoin is toast".
Further, the "smart" curve choice bitcoin made was simply not using the NIST P-curves. But lots of stuff chose not to use the NIST curves; that's why we have Certicom's curves and the Brainpool curves. Unfortunately, bitcoin didn't do that much better than the NIST P-curves; the Koblitz curves they use also have problems that researchers are exploring.