think of the show Two and a Half Men; Combined, they make up the show, yet they are independent of each other.
The Watchtower has misrepresented the tenets of this teaching, and their interpretation of the doctrine of the Trinity is actually known as Modalism.
Trinitarians don`t believe 3 are one
Here is the section of the Athanasian Creed pertaining to Trinity. If you don't believe this, you believe something other than the Trinity, so rather than tell others they don't understand what the Trinity is, perhaps you believe something other than the Trinity and are using "Trinity" as a misnomer. Catholics came up with the definition and the name. If you disagree with the definition and choose to call a different belief by the same name, don't accuse other people of being confused about your doctrine when they describe another doctrine that prexisted yours by the name used long before your doctrine adopted it.
And the catholic faith is this: That we worship one God in Trinity, and Trinity in Unity;
Neither confounding the persons nor dividing the substance.
For there is one person of the Father, another of the Son, and another of the Holy Spirit.
But the Godhead of the Father, of the Son, and of the Holy Spirit is all one, the glory equal, the majesty coeternal.
Such as the Father is, such is the Son, and such is the Holy Spirit.
The Father uncreated, the Son uncreated, and the Holy Spirit uncreated.
The Father incomprehensible, the Son incomprehensible, and the Holy Spirit incomprehensible.
The Father eternal, the Son eternal, and the Holy Spirit eternal.
And yet they are not three eternals but one eternal.
As also there are not three uncreated nor three incomprehensible, but one uncreated and one incomprehensible.
So likewise the Father is almighty, the Son almighty, and the Holy Spirit almighty.
And yet they are not three almighties, but one almighty.
So the Father is God, the Son is God, and the Holy Spirit is God;
And yet they are not three Gods, but one God.
So likewise the Father is Lord, the Son Lord, and the Holy Spirit Lord;
And yet they are not three Lords but one Lord.
For like as we are compelled by the Christian verity to acknowledge every Person by himself to be God and Lord;
So are we forbidden by the catholic religion to say; There are three Gods or three Lords.
The Father is made of none, neither created nor begotten.
The Son is of the Father alone; not made nor created, but begotten.
The Holy Spirit is of the Father and of the Son; neither made, nor created, nor begotten, but proceeding.
So there is one Father, not three Fathers; one Son, not three Sons; one Holy Spirit, not three Holy Spirits.
And in this Trinity none is afore or after another; none is greater or less than another.
But the whole three persons are coeternal, and coequal.
So that in all things, as aforesaid, the Unity in Trinity and the Trinity in Unity is to be worshipped.