Hillary Clinton is on record as co-sponsoring a proposal to amend the Constitution, allowing naturalized citizens to be eligible for the office of President, with no restriction other than age and length of residency. So, she has no issue personally, with that particular requirement being undermined. She's also Secretary Of State in an administration filled with her and her husband's former cronies. Sometimes you don't have to literally win, to get what you really want.
And, John McCain had and still has his own, well-scrutinized problems in the area of Constitutional eligibility, no matter what that ludicrous, nonbinding Sense of the Senate SR 511 attempted to convey. Review the several proposals for Constitutional amendment, over just the past five years alone, sponsored and co-sponsored by Republicans and Democrats alike, and you'll see that they're quite certainly aware that John McCain was not eligible, and that Barack Obama is not eligible.
Perhaps McCain was chosen to be the candidate because he was also ineligible, and therefore (a) could not touch obama’s ineligibility and (b) had to throw the election because if he had won, his eligilibity would have been dragged into view.
I am convinced he threw the election, just haven’t figured out why. The entire thing stunk.