What do you mean by “strong Republican?”Why don't we wait and see what happens? The economy should be roaring by then. Unemployment will be statistically insignificant. Wages will be going up as the labor pool tightens. People will see the results of the booming economy in their paycheck and their retirement accounts. How soon people forget the lessons of 1984. Same thing was being said about Reagan and the Republicans and then people saw the impact of the tax cuts on their everyday life.
By November the Wall should have progressed further. A DACA deal will be done. Infrastructure will at least be well into the talking/debate stage.
Besides, most people don't connect Trump with being a strong Republican.