This is interesting...
I did some cleanup in the original site this morning, updated to Joomla 3.5.1, Pulled a fresh backup and reinstalled on new server.
Everything is now working.
Still curious as to what failed on the install yesterday as I performed exactly the same procedure. I have been using Akeeba core for a long time so am familiar with kickstart. This was the first time I have ever had a problem.
I do have one other small issue though and is probably just something I don't understand. I wish to change the backup dump directory so we can rsync a copy off to a different server on a nightly basis. When I set a new directory and run a backup if falls back to default path.