Yes, Aura and the force have similar concepts, but they do different things, per say.
Aura manifests itself as a mystical fire and your generic energy balls. If you watch DBZ, one could say that all they're energy attacks are aura powered.
When you think The Force, you think force-chocking, mind-reading, and lifting things up into the air by sheer "Force" of will. All of these thing seem rather similar to Psychic abilities.
All-in-all, the argument between Aura and Psychic abilities is like an argument Between Soul and Mind, So thus the argument is FUTILE because they are directly linked and one would not be able to function without the other.