Nope. If anyone in power really believed that Claire McCaskill wouldn't have felt compelled to introduce a bill to green-light McCain.
(And friends of 0bama wouldn't have felt the need to try to expand that to include 'any descendent of anyone who served in the US military').
I can't speak as to what McCaskill though he was doing with that bill.
In the first place it wasn't a bill, it was a non-binding resolution - S.Res.511. In the second place, the resolution got the circumstances of McCain's birth wrong - he wasn't born on a military base - so it's basically worthless. It's saying McCain is eligible because of circumstances he didn't meet.