Myself, as a secular person, the way I approach religious art is the same way I approach non-religious art.

I give it a brief glance and a slight nod (if nod worthy which usually I don't feel is the case), then I proceed to ignore it. Most of what is called art isn't in my opinion anyway so I usually don't even bother with that.

There is some cool stuff for sure, Burning Man comes to mind, especially before the steampunk infestation. But generally I wonder why people waste their time.

I do however (nearly) fall to my knees in worshipful rapture at a good piece of technical work be it a building, a vaccine or a piece of code. But it has to be functional or I don't care about it beyond a glance. And efficiency and functionality it what makes it beautiful to me.

I'm guessing this view might be considered by some to be a disorder and it probably correlates with my lack of religiosity. As a side effect of said disorder, I simply don't care what these kind of people think.