I sometimes play in precisely this area in my own faith. There's nothing odd about it at all in my mind (but perhaps I am sufficiently wacko to not notice)
The idea is simply that the reality we see is an illusion, or a change, or even a different time-line, a la Back to the Future II type mentality. It is an entirely personal faith-based position. Why should the world be this way? Who knows. Perhaps God did it, perhaps something else.
To me, Genesis 1-2 depicts an utterly alien environment. In my mind, either this is pictoral allegory, or it is depicting a real setting but confused by translating it into (dare I say...) "post-fall" reality. Should it be the latter, I cannot but believe that the Eden setting and the Heaven and Earth of Genesis do not truly correspond to what we call phsyical reality of the past xxxx years since then, if measuring time since then even makes sense.
My ideas here are quite closely tied to Randman's (IMO) but differ in that I do not expect to see evidence of this in physical reality today.
Do I really believe this? Depends what day of the week it is. I think all kinds of crazy things. But on every other monday, I'm with Wise