They are the same but they also denote two separate entities as each other in divinity (essence, whatever).
What I would personally object to, from a Trinitarian perspective, is your statement that Jesus and the Father denote two separate entities.
Trinitarians do not understand the verse you cited to mean that.
We believe Jesus and the Father are subsisting relations of the one selfsame Being / entity, of which the former is the incarnation thereof (literally God made man, the eternal assuming a human form).
There aren't three people or minds, but one personality and Mind, God, who is Father, Son and Holy Spirit (existing in three instantiations, or relations, of the one being / essence to Itself). That's Trinitarianism.
Three people / minds / beings equals Tritheism, to our understanding.
The Catholic Church at the
Fourth Lateran Council in 1215, actually declared as heretical a belief I find, myself, to be very similar to that which you espouse in this thread, which had been ascribed to Joachim of Fiore.
The council proclaimed the Nicene doctrine of the unicity of God having one single, undivided divine essence which each of the three just
is whole, entire and undivided: three "
distinct manners of subsisting" of that same divine essence, entity, being and mind in relation to Itself.
See:
Fourth Lateran Council : 1215 Council Fathers - Papal Encyclicals
We therefore condemn and reprove that small book or treatise which abbot Joachim published against master Peter Lombard concerning the unity or essence of the Trinity, ...
Abbot Joachim clearly protests that there does not exist any reality which is the Father and the Son and the holy Spirit-neither an essence nor a substance nor a nature — although he concedes that the Father and the Son and the holy Spirit are one essence, one substance and one nature.
He professes, however, that such a unity is not true and proper but rather collective and analogous, in the way that many persons are said to be one people and many faithful one church, according to that saying : Of the multitude of believers there was one heart and one mind, and Whoever adheres to God is one spirit with him...
We, however, with the approval of this sacred and universal council, believe and confess with Peter Lombard that there exists a certain supreme reality, incomprehensible and ineffable, which truly is the Father and the Son and the holy Spirit, the three persons together and each one of them separately...
This reality neither begets nor is begotten nor proceeds; the Father begets, the Son is begotten and the holy Spirit proceeds. Thus there is a distinction of persons but a unity of nature. Although therefore the Father is one person, the Son another person and the holy Spirit another person, they are not different realities, but rather that which is the Father is the Son and the holy Spirit, altogether the same; thus according to the orthodox and catholic faith they are believed to be consubstantial
Compare the belief declared heretical to orthodox Trinitarianism above, that the Father, Son and Holy Spirit are merely united as a "
collective and analogous, in the way that many persons are said to be one people", with your statement above:
Most say jesus is god, creator is god, spirit is god, but they are three separate people (creator/spirit/human) yet they are god.
What you describe there is not Trinitarianism but Tritheism from our perspective.