Number one, the Trinity group did NOT "eliminate the competition". What they did was make a convincing case, or perhaps you have not heard of Irenaeus, Clement, Anthony, and Ignatius, most of whom predate Nicea?
Disagreed. They declared those who didn't accept the Church view as being heretics and blasphemers. What was the penalty for these crimes in those days? Hint: What happened to Joan of Arc?
What about "Clement, Anthony, and Ignatius"? Don't you know that ideas floated around long before being canonized as official doctrine? Who and why did a church official turn Mary Magdalene into a whore?
The penalty was excommunication, as Arius eventually eventually was, although when he came back the Church took him back. Where do you get your history from?
Joan of Arc and the Nicene council are separated by 1300 years of history, get your facts straight. And trinitarian theology was "floating around" because the apostles floated it. But the heretics existed even then. You know, just because someone believes something other than orthodoxy, that doesn't make it valid.