I take it you are not familiar with the Texas system? We may have the weakest governor in the US. Our Lt. Governor is the power in the state and the Governor has only two real powers. The veto, which Perry uses a great deal, though he cannot tell you why, and the bully pulpit, at which he is 100% ineffective.
Considering that the General Assembly is controlled by socially conservative Republicans, there is no doubt they will attempt pass some more pro-life bills in the near future. When they do, the media will ask the candidates for Governor if they would support such bills.