First I want to say that as shrines go it is reasonably tasteful, for which I am thankful. A nearby neighbor has a large shrine to, uhh, St. Francis of Assisi perhaps? Basically a huge Disney explosion of random animals....
Anyway, they just finished putting together this shrine (complete with water fountain in the base), and for the first time someone (Mary?) was in it when I got home. However while taking the trash out tonight, I noticed that she(?) was gone; I assume they took her in for the night? It seems like you could leave it up to the will of God and just leave her out, but then again, having someone steal and pawn your shrine statue would be kind of a drag. Vandalism is of course also a distinct possibility.
Speaking of vandalism, while I would never dream of damaging the statue, since these are the obnoxious neighbors who used to drive everyone crazy with blasting music*, I must admit that if the noise did start up again it would be incredibly tempting to put headphones on the statue and leave a convenient, "Mary says...use headphones when you listen to music" on the statue.
*The primary culprit, the son, seems to not be around as much, so either he has moved out and/or now has a girlfriend to keep him occupied elsewhere. Hallelujah.