I guess we're maybe closer in understanding than I'd assumed. When I think of "God," I generally also think of God the Father, or the Almighty God, and not of Jesus. I believe that Jesus was, in fact, with His Father before coming to earth. I believe that He created our universe, but acting under His Father's direction. As He said, "I do nothing of myself." He did His Father's will in all things and as John 13:3 states: "Jesus knowing that the Father had given all things into his hands, and that he was come from God, and went to God." I believe that God, our Eternal Father in Heaven has given His Only Begotten Son all that He has, including (as John 5:26 states) the ability to have life in himself. That's something none of the rest of us can claim.
I believe that the Bible does refer to beings other than the Almighty God as "gods," but that when capitalized, the word "God" usually refers to the Almighty God, but that it can and does occasionally refer to Jesus Christ, since I believe one of the things the Father gave His Son, was the right to the title, "God" (with a capitalized 'G'). I don't believe Jesus was merely a "god" (i.e. a divine being of some sort) but that He was part of the Godhead referred to in the Bible. When I say, "Godhead," I do not mean "Trinity." I do not believe in three persons in a single substance who are all co-equal. I believe that the Father is greater than the Son, that He always has been and always will be. And when I use the term, "God," I am also most often thinking of the Almighty God. So, like you (I suspect), I don't believe the Father and the Son are one and the same. I believe they are two distinct beings. That said, I do not believe it is inaccurate to refer to Jesus as "God."