It's really not ignorance. There's quite a lot of data that supports it, and does not fit the mainstream scientific view.
I guess I consider it ignorance when people don't look at all of the data. And by that I mean withholding judgment in order to determine what is actually true, not just looking at the "other side" to determine how to defend your own views.
So lets say I start at the belief that God created everything. I want to know how it happened. How do I do that?
Lets say I narrow it down to 4 possibilities.
1 - Young Earth Creationism
2 - Old Earth Creationism
3 - Theistic Evolution (or as I prefer Evolutionary Creation)
4 - Atheistic Evolution
First thing I realize is that if the Bible is true then atheistic evolution cannot be. So I cross that off.
1 - Young Earth Creationism
2 - Old Earth Creationism
3 - Evolutionary Creation
Now I learn about each of these views and how they interpret the Bible and science. They all sound good so I suspend judgment until I have further information.
I now decide I want to read what they think about each other this should help me determine which is true because they are conflicting views. I learn their criticisms of the other views. First thing I ask is "do they have an answer to the opposing view"? In most cases they do. The second thing I ask is "does their answer actually answer the question"? Finally I ask "is their representation of the opposing view consistent with that view"?
The majority of the time I find that the Young Earth view represents their opponents inaccurately or does not respond to their objections. On the other hand in most cases I find that the Old Earth and Evolutionary Creation views do accurately represent the Young Earth view.
So either I figure they are ignorant, meaning they don't actually know what the other sides believe, or they blatantly reject it. The problem is they are poor at showing why it should be rejected because they either misrepresent it or do so just because.