I agree with you. There are 5 mind moments that constute the dying consciousness which dictates our next future birth; the last mind moment which is called the death consciousness (similar to the bhavanga) will immediately effect a rebirth linking consciousness of the new birth. There is only the karmic force that is enforced here, and dictates the future rebirth. The detail of how the rebirth process being undertaken, please seriously study the Pali Canon of Abhidhamma pitaka.