Well, with a little help from Andy G at
http://sacrey.info/ , I was able to get my issue figured out.
For any others that may have GoDaddy, you have to go into your "Select PHP Version" section of the Software section in the hosting area. Change the option to version (Native) 5.4. 5.4, 5.5, and 5.6 won't work.
Changing the option shows a message "Warning: Changing php modules and php options via PHP Selector for native php version is impossible". That warning is why I never tried it. I figured I had nothing to lose and did it. My test.php file started showing JSON being there as soon as I did.
I just hope GoDaddy doesn't screw me over at some future point and drop that PHP option.
Now I just need to flip over my actual uploads and get the name re-pointed. I need to go work on some snow first. We're in the midst of a 10-12 inch storm. We're up to 50 inches for the year. On pace to beat our all time record snow of 111 inches. I really hope this doesn't keep up to that pace. I'll need a new tractor if that's going to happen.