They were not connected for the first 1962 years of church history.
Pope Eugene IV, Council of Florence, Sess. 8, Nov. 22, 1439, ex cathedra: “Whoever wishes to be saved, needs above all to hold the Catholic faith; unless each one preserves this whole and inviolate, he will without a doubt perish in eternity. But the Catholic faith is this, that we worship one God in the Trinity, and the Trinity in unity; neither confounding the persons, nor dividing the substance; for there is one person of the Father, another of the Son, another of the Holy Spirit, their glory is equal, their majesty coeternal… and in this Trinity there is nothing first or later, nothing greater or less, but all three persons are coeternal and coequal with one another, so that in every respect, as has already been said above,both unity in Trinity, and Trinity in unity must be worshipped. Therefore let him who wishes to be saved, think thus concerning the Trinity. **But it is necessary for eternal salvation that he faithfully believe also in the incarnation of our Lord Jesus Christ… the Son of God is God and man… This is the Catholic faith; unless each one believes this faithfully and firmly, he cannot be saved.” **
841 The Church’s relationship with the Muslims. “The plan of salvation also includes those who acknowledge the Creator, in the first place amongst whom are the Muslims; these profess to hold the faith of Abraham, and together with us they adore the one, merciful God, mankind’s judge on the last day.”
If we can say this about the Muslims who deny the divinity of Christ then why not include the Jehovah’s witnesses also?