If the Holy Trinity is defined as three distinct faces, people or persons of God, does this not directly contradict the first commandment? THOU SHALT HAVE NO OTHER GODS ON MY FACE.

One of the most common explanations I've seen floating around in the Internet is a picture:


It denotes the 'Godhead'. In my understanding, heads, and persons, are distinctly unique because of their face. If this Godhead has 3 distinct faces, does the idea of the trinity not completely contradict the very notion of the first commandment?  The Father IS NOT The Son, The Son IS NOT The Holy Ghost, And the Holy Ghost IS NOT The Father. Each entity here represents a distinct face of God. How does this not explicitly contradict the very first commandment? 

Further, the second commandment also states that THOU SHALT NOT CREATE ANY GRAVEN IMAGES IN THE LIKENESS OF ANYTHING IN THE HEAVENS ABOVE or ON THE EARTH BELOW or beneath it. 

Taken from https://www.biblestudytools.com/dictionary/idolatry:
Idolatry, [N] [T] [E]
strictly speaking denotes the worship of deity in a visible form...

Do these two items, side by side, not explicitly condemn our notion of trinitarianism AND God-Incarnation? Does this also explain why we cannot find any of our church fathers or primary sources in the first 300 years of our tradition expounding upon this clearly? My wife quoted 2 lines for citing the trinity: baptise in the name of the father ..., and there are 3 that bear witness in heaven. The former doesn't explicitly denote the doctrine to me and the latter was actually thrown out from many versions that are currently being published in the bible as a known fabrication.  I guess the question is, besides Athansian Creed, from where did this idea come from? How can people tamper with the word of God so easily without conscience? This is my first question (or first few questions) here and I'd just like people to be somewhat sensitive to the matter if my knowledge-base just isn't there. I think this is why forums like this exist. Thank you! 

PS I think I have considered myself a Unitarian for the greater part of 10 years now but my wife continues to urge me to ask questions so, here I am. She is Protestant. 

PSS I've read quite a few answers here so I'd like to exclude anyone from citing Jesus as saying "I am the first and the last, the alpha and the omega" since, by ALL accounts, Jesus did not speak Greek so I don't know why the Bible authors quote him as claiming to be the first and the last character in the Greek Alphabet.
If God is un-created and infinitely and eternally perfect then it is reasonable that He possesses uncreated, infinite, eternal integrity.  If this is so then there can be no ontological difference between who He is, what He says, and what He does.  He has revealed Himself to us in this fashion in Scripture.

God the Father is who He is


  Therefore, as to the eating of food offered to idols, we know that “an idol has no real existence,” and that “there is no God but one.” For although there may be so-called gods in heaven or on earth—as indeed there are many “gods” and many “lords”— 
  yet for us there is one God, the Father, from whom are all things and for whom we exist, and one Lord, Jesus Christ, through whom are all things and through whom we exist. - 1 Corinthians 8:4-6


God the Son is what He says


  In the beginning was the Word, and the Word was with God, and the Word was God. 
  - John 1:1
  
  And the Word became flesh and dwelt among us, and we have seen his glory, glory as of the only Son from the Father, full of grace and truth. - John 1:14


God the Spirit is what He does


  Then he said to me, “This is the word of the LORD to Zerubbabel: Not by might, nor by power, but by my Spirit, says the LORD of hosts. - Zechariah 4:6


Being, saying, and doing are distinct and separate for us created, finite, temporal creatures.  These three are distinct in God but not separate because he is infinite and eternal.  One God...3 distinct yet inseparable expressions.

I hope this helps.