That’s the truth of scripture. Can you find anywhere in scripture where someone is saved simply by belonging to a group or is it a personal decision which causes someone to be saved and then becoming part of the “body of Christ”?
Belonging to the Church is a prerequisite for salvation, but it does not guarantee that you will be among the elect because it is up to you to co-operate with grace.
Empty and meaningless faith is worthless. You can’t have faith without works anymore than you can have works without faith.
But Catholics and Protestants can be united behind the assurance that salvation is a result of God’s grace and not as a result of anything we have done on our own.
The sacraments are God’s works, not ours.