I think you still have a long journey ahead of you.
The reason for sending people to the Google page is that
- it loads very fast
- it's likely to be cached anyway
- it renders very fast
- it's really well optimized
- did I mention it's fast?
The link you provided is slow.
If you want to provide a fast way of changing the screen then open your site in a frameset - with the cloak in a frame of height 0, and your site in a frame of full height. Then when the user clicks on the link swap around the frame heights and redirect to the top level window to the page already loaded.