Hi csmoak25. I'm REALLY glad you asked this question first.
There are three AC connections. Hot and neutral are the main power connections. Ground is only for ground.There is also a neutral hook up on the power supply in between the two mentioned above. I only have the two wires to hook up so do I just leave that one open?
Correct. If you add a fourth Axis, Just double up on one set.Also, the power supply has three V+ and three V- each one of these go to Stepper driver correct?
EDIT: It just occured to me that you might be asking if you should use the wall wart as a PLUG, cut off the OTHER end, and wire it to power the PSU?
NO! Find an old Washing machine or something with a 3 wire plug. Cut off this wire and use it to power your PSU from the wall outlet.