Arianism was a reaction to the heresy of Sabellianism/Modalism.
No, Arius was concerned more with the problem of the begetting of the Son as characterized by the developing orthodoxy (is the Son unbegotten? How and when was the Son begotten? Was the Son begotten of the same substance as the unbegotten Father?). It was rather Tertullian who developed some key trinitarian concepts as a response to the modalism of Praxeus (Sabellius was later), that the persons of the trinity are a "plurality without division" (numerum sine divisione) while being one through "unity of substance" (per substantiae unitatem), that the persons are separate by distinction but not by division (Adversus Praxean, 2, 9). He criticized modalism as implying the crucifixion of the Father and the flight of the Holy Spirit.
Rather the Arians accused trinitarians as maintaing a Sabellian heresy, on account of their claim that the three persons share the same substance. The Nicene fathers worked at defining their concept of the trinity with greater confusions to distinguish it from Sabellianism. Arius did have his Sabellian opponents, such as Marcellus of Ancyra, who participated in the Council of Nicaea. The fourth Oratio Contra Arianos (written c. AD 360) attacks both Arianism and the Sabellianism of Marcellus.
I recognized the heresy of sabelliansim to be the same 'trinity' as described by the WT for all these many decades. NOT the trinity.
That's roughly the case....The Society has at times construed a sort of strawman in its characterization of the orthodox trinity (such as implying that if Jesus were God he would be praying to himself in John 17). But it must also be admitted that many avowed trinitarians, such as some in this forum, have used modalist metaphors to describe the trinity (such as the familiar ice-water-vapor metaphor).
the trinity doctrine as a teaching wasn't taught by the first century christians.
Very true.
trinitarianism was born later so they could call Jesus God and worship him
That is untrue. Jesus was referred to as God long before trinitarianism per se was "born". The project of trinitarian thinking was rather aimed at developing a theology that makes sense of the many disparite christological and theological views in scripture and liturgy. Arianism later had similar aims as well, along with the many other theologies rejected by the church as "heresy". These groups took different interpretative paths in constructing systematic views of God; all are later constructions and do not represent what each writer may have had in mind.
didache is not making a statement of trinity he is just quoting the baptism sccripture.
That's right, although one must note that triadic formulae had a very prominent life in the early church (spanning between the NT, the apostolic fathers, the Odes of Solomon, and the early apologists). They varied widely in form and order and contained almost no "trinitarian" theological content, but it also shows that there was an early precedent for triadic thinking in the apostolic church. The triadic motif is not necessarily due to, say, later pagan influence.
all ignatious is doing is saying Jesus is God - I accept it was through people like him wanting to make Jesus God from whom the trinity was born
It is acceptable for you to say this because Ignatius is not in the NT. Conversely, it is not acceptable to say the same thing about the gospel of John. But in fact, the two are very, very similar in the way they call Jesus "God" (Ignatius, like John, mainly uses only anarthrous theos and possessive "my God", "our God" to refer to Jesus, while ho theos is exclusively the Father; also compare Ignatius, Ephesians 14:1 with both John 1:1 and 1 John 4:8). The Johannine and Ignatian literature were also written only a decade or so apart.
justin martyr is clearly saying Jesus has second place the context shows he considers this a lesser postion and not equal to God. so no trinity all are equal there.
Don't forget that he also considered Jesus God because he was begotten of the same substance as God (he didn't use this term, but it is what he meant) like one fire kindling another, thus "he is called God, he is God, and shall always be God" (Dialogue 58, 61). He also considered Jesus to be the LORD God of the OT who appeared to Moses in the burning bush (1 Apology 62-63). And not all trinitarian theologies have a notion of co-equality; the economical trinity of the second century constured three persons sharing the same substance but differing in rank. Justin Martyr was very close to an economical trinity, as he described the Son as having the second place and the Holy Spirit the third (1 Apology 13, 60).
Theophilus yes hes a trinitatarian but a later one.
Actually the first to clearly refer to a trinity.
Iraneous quite clearly keeping God and Jesus separate, this is not trinity.
The quote of course does does not tell the whole story. Irenaeus distinguished between the Father and the Son, but he was clear that both were God:
"The Father is Lord, and the Son is Lord, and the Father is God and the Son is God; for he who is born from God is God. And thus God is shown to be one according to the essence of his being and power; but at the same time, as the administrator of the economy of our redemption, he is both Father and Son. Since the Father of all is invisible and inaccessible to creatures, it is through the Son that those who are to approach God must have access to the Father" (Proof of the Apostolic Preaching, 47).
Similarly he wrote that "the immeasurable Father is measured in the Son, for the Son is the measure of the Father since he contains the Father" (Adversus Haereses 4.4.2), such that "he displayed God in visible form to men" (4.20.6). "God became man, and it was the Lord himself who saved us" (3.21.1), "How can they be saved unless he was God who wrought their salvation on earth? And how shall man pass to God unless God passed into man?" (4.33.4).
tertulian later but clearly a person who find God the father superior to jesus and distinct.
Tertullian was a trinitarian and he was explicit that the three persons of the trinity are united by substance, distinct without division of substance. He regarded the Son and the Holy Spirit as processions or projections of the Father, distinct from each other and secondary to the Father, but all the same united together as one God.
These quotes are actually good for people to see how trinity evolved and how clearly it is a concept of men and not God
The same could be said of almost any theology that presses the many different writings of the NT into a single doctrine. It is also incorrect to place the burden of influence of Greek philosophy solely on the trinitarians when Arianism itself drew on Middle Platonism and Aristotelianism.