Originally Posted by kael03
Kakashi doesn't have the ability to transport himself to that dimension. All he trained his Kamui for was to use as an offensive technique.
Obviously, he trained his kamui for what it is capable of. I don't think both eye techniques are identical. We clearly can see the differences between them both, from what you said, I think the left eye has the ability to transport and others/ and being intangible, whereas the right eye(kakashi's) has the ability to go offensive transport something from long distance, while focusing on to something external. If kakashi were to transport himself, he has to look at himself to transport himself to the other dimension.
That brings another question, can kakashi make a clone and transport his original or clone to the other dimension using it on himself.