Asking for Scriptural evidence of what you claim to be truth is not unorthodox or heretical. I see you failed to post any Scripture to back up your opinion.
The dog thing was just an example. But since you bring it up, my dog does have a will.....he is one hard headed Beagle. He has emotions and intellect too, and I'm pretty sure he is aware of himself. Of course, he does not have any of these things to the degrees that we do. Just as we do not have them to the degree that He does.
A dog is not self aware. He does not know he's a dog or whether he is male or female or that he is going to die. And the most important characteristic of person-hood is a God awareness. Only a person is aware of God, whether he lives in bible belt USA or in the remotest of jungles.
All 3 persons of the Trinity are aware of God because they ARE God.