My guess is that the things that would make Bradley more appealing to the 2.74% country that went for McCain, would also have likely sent more centrists Dems into the arms of a Republican war hero considered more moderate than Bush.
A fair bit of that 2.74% is clustered in some of those close states. For instance, I doubt McCain would win Maine where Gore beat Bush by six AND Nader carried over 5% of the vote on top of that.
I also doubt Bradley would've lost many centrist Dems to McCain. While he ran to the left of Gore on some issues, he wasn't far left. Remember, he co-sponsored the Tax Reform Act of 1986, one of Reagan's tax cuts.
McCain would've undoubtedly picked up more independents and undecideds and won the election, but I do think Bradley would do respectable as well.