Beginner's help reading schematic

Could you tell me what connections in the schematic/breadboard make you think that I'm powering the logic and motors from the same supply? I didn't think I was doing that based on the setup I have there. I know its a no-no to do that.

I cant get another chip right now. I just want to know if (assuming the resistors were of the correct rating) this setup would allow the motor to turn.

Here are the specs:

My supply is this: RadioShack.com Official Site - America's Technology Store

My motor: http://www.automationdirect.com/adc/Shopping/Catalog/Motion_Control/Stepper_Systems/Motors_-z-_Cables/STP-MTR-23055

My drivers:

My microcontroller: Arduino UNO: http://arduino.cc/en/Main/ArduinoBoardUno/

Thanks