Upon what evidence do you base this "split" by Thompson? He could very well select Hunter as VP. He would keep the conservatives happy while also keeping the issues such as abortion, illegal border invasion, homosexual agenda, and the 2nd Amendment in his corner. Exactly who would he lose? The liberal minority GOP from New York? Who cares? New York is not needed to win a Presidency.
And then we'd have two dull, unknown white guys running against Her Highness Hillary or rock star Obama. What do they offer the swing voters? There's a large segment of the voting block that is swayed by charisma, personality, name recognition, and star power. It's worse right now, given how unhappy the electorate is.
Your picks will fire up the base, and cede the center to the left. Which will make FR happy, but it won't work.