Episcopalian:
With that being said, why are some Catholics so insistent that Protestants, or non Catholic Christians, convert?
I’m a Catholic and I believe, the Catholic Theology is the best teachings on salvation.
For this reason, I wish everyone convert to be Catholic and to know very well Catholic Theology.
On top of that, if other churches do have the tools for salvation, and the Magisterium states it, how does that jive with the whole thought process: Extra Ecclesiam nulla salus?
The CCC answers the question:
“Outside the Church there is no salvation.”
846 How are we to understand this affirmation, often repeated by the Church Fathers?
Re-formulated positively, it means that all salvation comes from Christ the Head through the Church which is his Body:
Basing itself on Scripture and Tradition, the Council teaches that the Church, a pilgrim now on earth, is necessary for salvation: the one Christ is the mediator and the way of salvation; he is present to us in his body which is the Church. He himself explicitly asserted the necessity of faith and Baptism, and thereby affirmed at the same time the necessity of the Church which men enter through Baptism as through a door. Hence they could not be saved who, knowing that the Catholic Church was founded as necessary by God through Christ, would refuse either to enter it or to remain in it.
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847 This affirmation is not aimed at those who, through no fault of their own, do not know Christ and his Church:
Those who, through no fault of their own, do not know the Gospel of Christ or his Church, but who nevertheless seek God with a sincere heart, and, moved by grace, try in their actions to do his will as they know it through the dictates of their conscience - those too may achieve eternal salvation.
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848 "Although in ways known to himself God can lead those who, through no fault of their own, are ignorant of the Gospel, to that faith without which it is impossible to please him,
the Church still has the obligation and also the sacred right to evangelize all men."
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God bless