When you say Intelligent Design is rooted in the ancient Greeks, do you mean in the way all mythology is based on the idea that gods created this world and everything in it?
Science rejects all non-material evidence within the context of science, there might be more out there but if it can't be seen, heard or felt by science, then it's unknowable to science. But we can all chose to experience a world outside of science, if we have the imagination for it.
From that short clip it would seem that you don't need to discard evolution as a process but that it was initiated by design, with or without a specific purpose. I have no problem with this, as they say One sure mark of a fool is to dismiss anything that falls outside his experience as being impossible.
On the other hand, for this to actually be proven (that is, not belief) we need to go through science. That is how the distinction looks today. This might very well bother people, but I doubt it bothers 'scientists', we might have different definitions for that word.