Exhibition modern art doesn't bother me. I love some of it, from Picasso to Rauschenberg. A lot os junk, too, but that is to be expected with things modern.
The sacred art lost all meaning at about 1700, to be charitable. It became sentimentalized kitsch. The exceptions exist, I am sure, although none comes to mind. OK, may be that Giacometti's crucifix that the Pope got.
I've seen far too much excellent stained glass, wall-painting and sculpture in Catholic Churches in America, dating to the 19th and even early 20th to agree with that statement.
Because of the self-referential way most modern minds are formed, this category is largely invisible to all but a few. Kitsch is now the ocean in which we swim. Because our culture conditions truth upon its emotional acceptability and takes for granted the sovereignty of private choice in all things, people find it impossible to think outside that category. It makes authentic conversion all but imposible.