Can Naturalism and Supernaturalism Coexist Peacefully?

Can Naturalism and supernaturalism coexist peacefully? The idea of them coexisting peacefully sounds great, but is it really possible? I sometimes wonder whether this could actually work. The idea of them coexisting peacefully sounds like it could work, but are people willing to compromise? When reading about pragmatic empiricism, I thought about this. For example, are people willing to compromise about abortion. I personally do not think that a Christian who follows the Bible word for word would be willing to vote "yes" for abortion. Issues such as these make it seem hard for pragmatic empiricism to occur in the world.

Another example is evolution and creationism. In fact, during my American History II with Professor Pecor, we talked about this. Some people are very adamant about teaching one over the other. As people willing to compromise for "this" world to only teaching evolution, only teach creationism, or teach both? An issue such as this is an ongoing issue. Many people believe after the Scopes trial in the 1920's that the issue was done--Scopes lost the trial but it made way for evolution to be taught in public schools. However, as Pecor mentioned in my class, today evolution being taught is still a major today.

When will these two coexist peacefully?