You are conflating Rahner’s visible/invisible distinction with the Catholic distinction between body/soul.
They are not the same thing.
The difference between the two is that for Rahner’s “anonymous Christianity,” sanctifying grace is either not required or unavoidably ubiquitous, whereas the body/soul distinction is predicated upon possession of sanctifying grace.
You're completely wrong about Rahner's "Anonymous Christianity", as Rahner said no such thing. Rahner's "Anonymous Christianity" was, alas, no different than Archbishop Lefebvre's articulation of "Baptism of Desire".
Msgr. Fenton clearly details the problem with not having the soul of the Church being co-extensive with the Body of the Church. Once you have a soul that extends outside the Body, then those who belong to the "soul" of the Church (but not the Body) are therefore united invisibly to the Church.