Indeed, given the turns of Catholicism under Vatican Two, it is better described as Neo-Catholic.and is not the same religion as historical Catholicism.
So, it looks like you have done some research, spent some amount of time on this.
I'm not concerned about if you label different groups different religions or different denominations. What I maybe have noticed is how people in a group can give a lot of their attention only to their particular things, compare themselves with each other, but not get into all the things of God's word and how we are and love, in comparison with Jesus. It is possible for us to know groups, better than we know the Bible.
So . . . how much have you gotten to know the Bible, meaning what Christians call the Old Testament and the New Testament? I understand you consider the five-book Torah to be your Canon Scripture.
So, have you gotten to know the New Testament and all the beliefs and commandments and guarantees which are in the New Testament? Or, have you concentrated your study on groups calling themselves Christian??
My opinion of experience is there are people who simply have trusted in Jesus for salvation, and we pray and trust God to have us doing all He means by His word; and in the process of doing this, we feed on the early scriptures, which include your Torah, and we feed on the New Covenant which has come after Jesus the Messiah was sacrificed for our sins and rose again on the third day.
We are not concerned about what label to put on ourselves, at least not as much as becoming like Jesus and loving any and all people the way Jesus on the cross has loved us all. How God has us become in our character is most important, possibly, because our character has a lot to do with what we are capable of choosing and doing, and if we are sharing with God in His love, or not.
So, labels are not relevant, I would say. But how we become in our character is what has to do with Christianity. But there are people who evade this, by staying busy with beliefs and labels and congratulating themselves about their label or how they can disprove people of another label.
And what is a significant difference is if people believe God personally relates with every one of His children. There are people claiming Christianity, who treat God like He is distant, and their prayer and worship and works can be gestures, like they are to God at some distance while the people control their own selves.
Others experience how God personally corrects us > Hebrews 12:4-14 > while also perfecting us in His own love > Romans 5:5, 1 John 4:17 > while personally ruling us in His own peace > Colossians 3:15, Matthew 11:28-30. And we have scripture about how God in us has us relating with other children of God in His love > Ephesians 4:2, 4:31-5:2, and other scriptures.
And Jesus in us has us loving any and all people, with hope for any evil person, at all, like how Jesus on the cross was loving and having hope for any and all people > love
"hopes all things" (in 1 Corinthians 13:7) . . .
"And walk in love, as Christ also has loved us and given Himself for us, an offering and a sacrifice to God for a sweet-smelling aroma." (Ephesians 5:2)
And God's word tells us what His religion is >
"Pure and undefiled religion before God and the Father is this: to visit orphans and widows in their trouble, and to keep oneself unspotted from the world." (James 1:27)
But there are people who keep attention away from God's kind of religion; instead, they keep attention to differences in outward activities and beliefs of people. Why is it, that ones do not first and mainly keep attention to all which God's word says?? Possibly you can find it much more interesting to discover all which is in the New Testament, in case you have not already checked this out.
God bless you

I am glad to meet you

Bill