NO, I wouldn't! You want to have ONE primary sighting device, and if it's a scope, it's a scope. And you want that primary sighting device to maximize its usefulness to you. To do this, it needs to be as LOW as possible, because you may get a shot really close in (under 30 yards), and if your scope is zeroed for say, 150, and your scope is 4 inches above the line of sight, then you will shoot 3.5-4" low at a really close in animal. Couple this with *any* error in your hold, and you just might miss those vitals. Plus, having a high scope messes up your cheek weld, which could make you have a bad shot.
The best way to use your irons as a backup (in case you drop and break your scope in the field, let's say), is to use a good quick-release mount system. Then if you think your scope is off or broken, pull it off completely and run with your iron sights.
But the scope is just plain better in my view, in all conditions, whether close or far shots, provided you can dial it down to a very low power (1-2x), and so you don't need or want a dual sight system.