"Can't quite figure out how it's impossible to see both God and the marvels of evolution."

Well you can do if you like, but what you can't do is see God IN the marvels of evolution. If you try to do that, evolutionary theory collapses about your ears. Integral to evolutionary theory is that there can have been no kick-start, no underlying driving force, no directional impetus and no design. As for seeing God, I'm interested in seeing your evidence for that.

"It seems to me that if we are able to look at something from a variety of perspectives, including the perspective of various schools of philosophic and religious thought, that our appreciation should be broader."

Quite so, but if one of those perspectives is entirely false to begin with your appreciation will be skewed and made narrower. Use of intellect comes in choosing your perspectives carefully.

"If we rule out any school of thought, we limit our perspective."

By ruling out false schools of thought, we broaden out our perspective. That's what we call science.

"I also can't figure out why it might be that people of religion cannot appreciate evolution, for however long it has gone on."

You can, but it requires you to entirely sideline God for the duration of your appreciation if you're to understand evolution as well as admiring its products.