@king_saturn: I would say no, the father, son, and holy spirit are 3 divine persons which is God. I'm not sure any other way to explain that. Only one God, but 3 divine persons.
1 Timothy 2:5 NIV
5 For there is one God and one mediator between God and mankind, the man Christ Jesus,
The Scripture You Gave Of 1 Timothy Goes To My Point Though. We Only See Yeshua And Yahweh In This Passage, No Holy Spirit As Yeshua Is The Mediator Between GOD And Mankind.
You asked how the trinity worked. 3 divine persons, one God. The passage shows 2 divine persons, God and Jesus.
and the Holy Spirit descended on him in bodily form like a dove. And a voice came from heaven: "You are my Son, whom I love; with you I am well pleased."