steerer as it is is a huge advantage. Even as it is now, you could raise your bars about an inch, or whatever that top spacer is.
Yes if you want the height raise that last inch. Then also rotate the bars so the tops are parallel to the ground and move the hoods to compensate. I prefer my bars that way anyway. It would raise all hand positions some and some quite a bit. I'd suggest at least giving it a try before getting carried away with swapping stuff.