Visible vs Invisible Church?

[Genesis315]

I just wanted to clarify one thing based on an earlier comment, only the Catholic Church can rightly be said to be the Church of Christ. You can’t really say the Church has a visible part and an invisible part distinct from the visibl part–you can’t say the Catholic Church is the visible part and other baptized Christians are the invisible part. Separated baptized Christians may be said to have a partial communion with the Church and the Church may be present to them in some way in those elements they have which belong to the Catholic Church, but the Church of Christ cannot be said to subsist anywhere other than in the visible Catholic Church.
Lumen Gentium:

1. Christ, the one Mediator, established and continually sustains here on earth His holy Church, the community of faith, hope and charity, as an entity with visible delineation (9*) through which He communicated truth and grace to all. **But, the society structured with hierarchical organs and the Mystical Body of Christ, are not to be considered as two realities, nor are the visible assembly and the spiritual community, nor the earthly Church and the Church enriched with heavenly things; rather they form one complex reality which coalesces from a divine and a human element.(10) For this reason, by no weak analogy, it is compared to the mystery of the incarnate Word. As the assumed nature inseparably united to Him, serves the divine Word as a living organ of salvation, so, in a similar way, does the visible social structure of the Church serve the Spirit of Christ, who vivifies it, in the building up of the body.(73) (11)

This is the one Church of Christ which in the Creed is professed as one, holy, catholic and apostolic, (12*) which our Saviour, after His Resurrection, commissioned Peter to shepherd,(74) and him and the other apostles to extend and direct with authority,(75) which He erected for all ages as “the pillar and mainstay of the truth”.(76) This Church constituted and organized in the world as a society, subsists in the Catholic Church, which is governed by the successor of Peter and by the Bishops in communion with him,(13*) although many elements of sanctification and of truth are found outside of its visible structure. These elements, as gifts belonging to the Church of Christ, are forces impelling toward catholic unity.

Dominus Iesus:

The interpretation of those who would derive from the formula subsistit in the thesis that the one Church of Christ could subsist also in non-Catholic Churches and ecclesial communities is therefore contrary to the authentic meaning of Lumen gentium. “The Council instead chose the word subsistit precisely to clarify that there exists only one ‘subsistence’ of the true Church, while outside her visible structure there only exist elementa Ecclesiae, which — being elements of that same Church — tend and lead toward the Catholic Church”

vatican.va/roman_curia/congregations/cfaith/documents/rc_con_cfaith_doc_20000806_dominus-iesus_en.html

 

[Genesis315]

Regarding in general the Catholic Church taking things that originate outside and using them towards its own mission, Bl. John Henry Cardinal Newman saw this as a mark of true development and of the Church’s vitality. The Church can take something good outside her and assimilate to her own use by purifying it of anything contrary to truth or goodness.

He describes how one possible mark of a false religion is that it cannot do this. They are either stagnant and dead and cease to authentically develop or they are themselves assimilated and corrupted by outside influences (rather than assimilating and purifying the outside influences).