You are not the only one who ever had struggled with these truthes; many other Christians from early times on to present day have. It was because of the misunderstandings of the nature of God in respect to the Trinity and the dual nature of Christ that further explanation was needed and a third, more comprehensive creed was drafted by the Church, known primarily as the Athanasian Creed. Here are a couple excerpts that show that from the early times of the Church, it was accepted that one can not separate the two natures; human and divine are one Christ, Christ is not a grafting together of the two.
His humanity and divinity are one Lord Jesus Christ; if Mary is not the mother of Jesus, God, then neither can she be the mother of the human Jesus. If she is the mother of Jesus the human man, she therefore, is Mother of God due to the inseparable combining of both natures into one being.
From the Athanasian Creed:
Although He is God and man, He is not two, but one Christ: one, however, not by the conversion of the divinity into flesh, but by the assumption of the humanity into God; one altogether, not by confusion of substance, but by unity of person.
For as the rational soul and flesh is one man, so God and man is one Christ,
Who suffered for our salvation, descended into hell, rose again the third day from the dead, ascended into heaven, and is seated at the right hand of the Father, God Almighty, from whence He will come to judge the living and the dead.