Is this the same God as in the Bible and the Koran?
All genuine scriptures agree that there is one Supreme Being. By logic and definition also, there can only be one supreme God. It would be reasonable to conclude, then, that what we see as differences in various scriptural descriptions of God are due only to different perspectives on the same Supreme Person.
We say there are basically three phases of realizing the one supreme God:
1. impersonal—the all-pervading spiritual oneness,
2. localized—God dwelling within the heart of everyone
3. Person—the Personality of God Himself, as He is.
Krishna, the all-attractive One, is the specific name that devotees of God give to His ultimate, personal aspect, the "up close and personal" view of the one Supreme Being. We may have different perspectives on the infinitely great, multifaceted supreme Person, based on upbringing or preconceived notions, but it helps to remember that ours is not the only perspective.