Republican = HP
Likely the next Mitt Romney.
Even in the incredibly unlikely event that Baker runs for president in 2020, the party would never nominate him. He supports Complete Abortion on Demand, opposes priortizing "human needs over animal rights", and is "comfortable" with same sex marriage. http://ballotpedia.org/Charles_D._Baker#On_The_Issues_Vote_Match
The implication is that he completely changes on that, like Mitt Romney did. I'm not sure that is the case, and I certainly hope Baker is smart enough to learn from that set of mistakes.
The difference is that Romney never supported same sex marriage - he was forced to allow it by the courts. Also, while Romney did not make any attempts to change abortion laws in Massachusetts, he never, unlike Baker, publicly supported abortion on a
personal level.