No. They differ in at several major ways:
1) I do not add the requirement of any religious rituals. I don't see a baptized baby as a Christian at all. Rather, a person has to choose to follow Christ. That's not to say I don't think religious rituals are important (I certainly do!), but they are something a person does as part of their walk following Christ.
2) I do not add a theology test as part of the requirements (aka your "you must be Trinitarian"). For example, a JW strives to follow Christ and is indeed a Christian. I have major major disagreements with JW theology, but a person is not made a Christian by their ability to ace a theology test. Improving one's understanding of God is something a person does on their walk with Christ.
3) I acknowledge a person's right to choose to follow and have a changing relationship with Christ. For example, if a person choose to denounce a group, I acknowledge that and don't consider them part of it.
do they have a right to follow allah or shiva etc. no! 1st commandment
and you don’t have a right to follow Christ in your way but His!
The kingdom new covenant church he founded
Matthew 6:33
But seek ye first the kingdom of God, and his righteousness; and all these things shall be added unto you.