You could hang it over an icon. Tallitot look quite similar to the icon scarves used by Ukrainians.
A great idea, especially if you have an old testament saint or an icon of Christ, it would be a powerful witness I think to a Jewish person coming to your home to see it used in that fashion. I have a friend who is a converted jew who does just that and it speaks volumes of his piety to jewish friends who come into his Orthodox Christian home.
How is that, Jews are not allowed images and here you wrap a tallit around it. I would think that would offend them.
Wow, I actually agree with Yeshua HaDerekh.
Thomas, with all due respect, your advice is really just a crude (if well intentioned) attempt to cram friendly interfaith sentiment into Orthodox praxis. As you know, the very idea of images is strictly forbidden in Judaism, so the idea of putting a Jewish prayer shawl around an icon is, well, almost dually insulting to both faiths.
I know you didn't intend this, and I appreciate your point, as some Jews I know have been shocked and impressed by the continuation of certain Old Testament themes within Orthodox life. But let's not push things too far, which I think your recommendation is doing. Plus, dcommini already stated that he doesn't really know many Jews, so it's not like he's parading them through his prayer corner in the hopes of converting them en masse.