That effect is supper cool. I really doubt your going to be able to accomplish that in Edge. You know that page is using threejs, right?
It seems like a job for Unity 3D with it's webGl export.
It is a one feature which have a HypeApp and don't have Edge animate.
I release perspective within css3 properties: transform, transition and perspective.
For example, this is very-very draft interactive prototype of one of my project. And I release it in Adobe Edge Animate within this css properties
Nice! Glad to see you got perspective working. Yeah I did some more research last night and found that css3 property.
What exactly is HypeApp?
In Hype You can control position of three axis of 3D: x, y and z.
And Edge Animate have only two axis: x and y.