Well, I did some research on Bradley when I had him as the first Black POTUS in
Out of the Blue, but mine was based on the premise, that he runs for the Senate in '78, he is chosen by the newly ascendent President Cliff Finch in the wake of Teddy's assassination, and then when Finch dies of a massive heart attack in '86, the old man gets in...later to win an incredibly narrow victory in '88 over Howard Baker
But If he does win the Governorship in '82, I think it could kind of be a mixed bag. Bradley's been pro business but im not sure if he would go to such drastic measures as vetoing measures for tax hikes and state spending like the Duke did. He would definatley let A.B.1(the first bill to ban discriminration against Gays and Lesbians) which could possibly for more progress in LGBT rights down the road. But if he's able to pull Cali out the recession it was in during that time, I think he very well could be a strong candidate in 1988 if he wanted to run for the Presidency.
Most considered him more of a Ford rather than a Kennedy in terms of his personal charisma, which could be a problem if he wanted to muscle our favorite egotistical Jesse Jackson out of the race. But I think he could if hymietown was leaked to the press ala IOTL. Running as a moderate Governor of a Big State, will already contrast him strongly against Dukakis, and I think looking back at how close Jackson's numbers were...that Bradley could have won the nomination. The Presidency however is a different matter