In the case of one abortion decision, yes, he sided with those who favored notification. A wife or a woman would have to notify her spouse before receiving an abortion. But he didn't say anything about abortion itself. He said the Pennsylvania legislature should have that right; the courts should not make that decision, the legislature should.
From the Bush White House perspective, this is a conservative with respect for judicial restraint. We are about, though, Kyra, to have a very big political fight.
The right has thrown together a bunch of catch phrases which often have nothing to do with each other and when they do they can contradict each other (judicial restraint, strict constructionism, original intent, etc...). Alito isn't known for his "judicial restraint." He's known for the exact opposite.