I've read where they adamantly believe in Salvation Outside the Church.
So for the multitude of ways to accomplish this, they accept:
1. Baptism by water.
2. Baptism by desire, without the water.
3. Baptism by blood.
4. Implicit baptism (everyone is automatically baptized in our hearts) AKA Karl Rahnerism.
The SSPX believes in #4, but not sure if CMRI goes this far?
I believe it was Fr D Radecki who stated a Jew who rejects Christ can still be saved.
"All infidels are damned" - Pius X
They are by far the most liberal trad group I have ever encountered. Out of the ICKSP, SSPX, Resistance, Dolan/Sanborn/Cekada group, sspv, they are the most liberal in all aspects of the faith and morality. The overall intelligence of the priests and parishioners seems to be lacking. A typical cmri church is less modest in dress than a typical Indult group for instance. They push a heretical BoD and Novus Ordo NFP heavily. They hold an utterly simplistic view of the crises in the church. Sermons are lacking in philosophy and real substance. Many members are completely a part of the world; tv, sports, drinking.
On the other hand many priests seem to be trying very hard in getting the sacraments to as many people as possible, and try to be as holy as they know how. Many parishioners are truly holy too...but very far and few between.
This is my opinion, and not a jab or ridicule, but a strong critique of their organization.