Sorry to see that you are having the same issue that I am... Mine also quit launching after working within the last day or two. I'm not sure it's the Safari upgrade though as I remember also installing an iPhoto and Aperture update at the same time.
I went back and restored all components that I knew about for ARD via Time Machine and it still doesn't work. Perhaps I missed something I wasn't aware of.
Here are the files or folders I replaced via Time Machine from before the Safari update.
~/Library/Application Support/Remote Desktop