The only difference? The perception that Kaine has few political or policy accomplishments to his credit would actually be true. In fairness to Dan Quayle, he had both.
Politically, he managed to beat one of the liberal lions of the Senate -- Birch Bayh (Evan Bayh's dad) -- at the tender age of 33. Once there, he made some serious contributions in the Senate, including work on the Jobs Training Partnership Act, the INF, and leadership of a Senate reform committee.
Tim Kaine's big political accomplishment was succeeding a popular governor of the same party, Mark Warner. As for policy accomplishments . . . . hm.