I'd always keep a radio, mainly because I couldn't imagine not. But also because I would never sell a radio capable of transmitting to a non-ham or someone who was not at least studying for their ticket.
Might leave the NMO mount but Larsen makes little 3/4" plastic plugs you can use to fill the hole left if you take it out. If someone asks about it, it's for a cell phone antenna.
"Why does the U.S. care which flag will be hoisted on a small piece of land thousands of miles away?" -- Ron Paul