Thanks for your prompt reply.
Yes, I can understand what you're saying about the dolphin kick being different when used for backstroke starts.
However, I've come across many articles talking about how to improve the dolphin kick for butterfly where they suggest practicing dolphin kicking on your back and on your side.
For example, refer to the paragraph, "Position Kick Exercise" in this article:
Even this article by Ryan Lochte says to practice on your back. Refer to the paragraph, "Practice on Your Back":
So, now I'm somewhat confused. Am I misinterpreting what they're saying in these articles?
Here's a video of a swimmer doing the dolphin kick on his back:
This is what I would like to accomplish. Notice that his face is completely free of water. In my case, I seem to be moving down the length of the pool at a reasonable pace, so I think my technique should be alright. What I don't understand is why I can't get water out of my face.