I called back, and got an actual android guy. He had me download an app, and took control of my phone. It drained 5% downloading 5 apps. As it turns out, my battery is actually bad. They are setting up an RMA to send it back. Bad thing about non removable battery, if it is bad, it needs to go back.
Since it was made with Moto Maker, it needs to be sent to Moto. No phone for me for a week.
Typical Motorola service. Send it in, wait 1-2 weeks or more. I waited 3 weeks and 3 days for my Motorola Atrix 4G and they refused to loan a phone, or do anything else.
If they don't give you a loaner phone (decent loaner phone) I would honestly recommend returning the phone, and buying a plain black or white model. At least that way you can let AT&T service it, much much faster.
Hopefully their plant in Houston can process your phone faster.
Lastly when I used the Moto X for a day before it was launched I got about 4 1/2 hours of on screen time use before I needed to charge it, when I put my S4 to the same tasks when I set it up, it took approximately about 3 hours to need a charge.
That's with downloading, streaming, installation applications, emails, and browser. Some of the games are 4GB, All Wifi on 50/50 FIOS connection.
Overall I noticed about a 1 hour to 2 hour difference with the Moto X and the S4 in battery life on the Moto X's favor. Both phones ran the same set up really in terms of features on/off.
One peculiar thing however, when gaming however, the Moto X drained the battery faster than the S4 which was weird and unexpected. I am not sure if the larger 2600 mah battery helped a bit there.