This is almost exactly what the Church teaches.
I will now paraphrase you in order to give you exactly what the Church teaches:
The Roman Catholic Church is the one true Church, all baptized Christians are part of that Church in one way or another, Christ alone is the head of His Church, and He alone will determine who is granted eternal life.
No, one is based on arrogance and disunity the second is based on humility and unity. The fact that you don’t see the difference or won’t admit it is very telling.