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The proper name of those who are members of the church of Jesus Christ is Catholic. Since many Protestants are members of the church of Jesus Christ they are therefore Catholic.

It's funny, but I have said that for years. The last time I did so on FR, I was roundly harangued by (Protestants, Evangelicals, Fundamentalists, Charismatics) who firmly and proudly proclaimed that they were not Catholic and that they had nothing to do with the Catholic Church.

CCC 836-838:

Who belongs to the Catholic Church?
836 "All men are called to this catholic unity of the People of God.... and to it, in different ways, belong or are ordered: the Catholic faithful, others who believe in Christ, and finally all mankind, called by God's grace to salvation."320
837 "Fully incorporated into the society of the Church are those who, possessing the Spirit of Christ, accept all the means of salvation given to the Church together with her entire organization, and who - by the bonds constituted by the profession of faith, the sacraments, ecclesiastical government, and communion - are joined in the visible structure of the Church of Christ, who rules her through the Supreme Pontiff and the bishops. Even though incorporated into the Church, one who does not however persevere in charity is not saved. He remains indeed in the bosom of the Church, but 'in body' not 'in heart.'"321
838 "The Church knows that she is joined in many ways to the baptized who are honored by the name of Christian, but do not profess the Catholic faith in its entirety or have not preserved unity or communion under the successor of Peter."322 Those "who believe in Christ and have been properly baptized are put in a certain, although imperfect, communion with the Catholic Church."323 With the Orthodox Churches, this communion is so profound "that it lacks little to attain the fullness that would permit a common celebration of the Lord's Eucharist."324

So it sounds like you've got the beginnings of a good handle on the One, Holy, and Catholic marks of the Church. Now we've got to work on the Apostolic part and then we're almost home!

Congratulations!!! Glad to see you spouting good, orthodox Catholic doctrine!!!