How so? Are you denying that the other persons of the trinity are God?
Jesus humanity and divinity are unseparated and unmixed
Which is it? Unseparated, meaning mixed, and unmixed meaning separated. Jesus IS God and man; but did the eternal God die on the Cross, or was it Christ's sinless humanity? If God died, is he God?
The rest of your questions are not worth bothering an answer too since you still haven't understood Christianity at all yet
They are essential because your Church teaches that Catholics believe in a false God. We can't begin to solve any issues until I know where YOU stand. Do you agree with Rome, and assent to CCC 841 that states Catholics and Muslims adore the same ' merciful God', thereby stating that you worship Allah, or do you dissent from Rome's teaching and deny that Catholics worship the same 'God' as Muslims, thereby admitting that the CCC is in error? Where do you stand? I AM Christian; I worship the one true, Triune, Living God.
Hoss
They are One God. But Jesus is not the Father and The Father is not the Son or the Holy Spirit. This is Trinitarian belief. Jesus has to be a different person from the Father to be sent by the Father (Gal 4:4). The Father has to be a different person from the Son to be the one who sends. Read the Cappadocian fathers Like Basil the Great or Anthanasius, they understand all this really well. Catholics honor these Eastern Fathers of the Church today.
Which is it? Unseparated, meaning mixed, and unmixed meaning separated.
Both, because He is one person, a hypostatic union. See the Council of Calcedon
https://www.ewtn.com/library/COUNCILS/CHALCHRI.HTM
They are essential because your Church teaches that Catholics believe in a false God.
You have to convince me first that you even understand what it means to believe in Jesus Christ the Son of God. Your questions indicate you've been unable to explain how His sacrifice on the Cross is efficacious for the salvation of sins.
Because really, if God did not act in the person of Jesus, therefore the salvation of humanity is untenable. But because He does, in the person of Jesus who is the incarnate God, He therefore saves. But the meaning of the incarnation literally means that Mary bore and gave birth to the Son of God. This therefore makes Him the Son of Mary And Mary the mother of God. Because such realities are communicable within in the second person of the Trinity. Its round and round we're going here...The incarnation is the essential reason for the title Mother of God. I'm attempting to explain it to you in many ways.
If you don't believe me, get a degree in Christian theology and come back and explain it otherwise.