Gingrich is not an ideologue

That's a hypothesis, not a conclusion. I can give some evidence as follows:

1. He got pushed out of the job of Speaker, because of some reason that may have had more to do with ideology than anything else [ I'll have to research that a bit, but it is only an hypothesis]
2. He nearly got pushed out of the nomination for president because he criticized the Ryan plan
3. He seems to be about getting solutions, having started up an organization called American Solutions

I should point out here, in case you are not familiar, that I put forth the proposition that ideology makes you stupid.  By putting that phrase in the google search box near the top of the page, it will return the following posts on that subject:

1. Mordor?
2. Morning break, 6/22
3. Notes from Mallove's "Fire from Ice", Part III
4. US defense chief says NATO outlook dim ...

Each of those are good posts, I hope you have the time to read them. There is a post not on that list which gives a historical example of how ideology can make you stupid. That was Adolf Hitler and the atom bomb. Germany was ahead of everybody in that technology, but Hitler denounced it as "Jewish physics", which was stupid. His ideology, which was of his own creation, made him blind to the reality that the physics was valid. Just because he hated Jews did not make it any less valid.

The proposition that you need an ideology to see the truth is one that does not always hold up. That's being a bit charitable. Perhaps it never holds up, but that is too harsh. The truth is a slippery thing indeed.