In doing a little research, I believe my earlier statement was wrong, at least for Verizon phones that run Windows Mobile as the OS. There are lots of hacks for the Windows Mobile registry, that apparently work on the Verizon Moto Q, for example.
See http://wiki.everythingq.com/page/Motorola+Q+Hacks for example.
So it should be possible to load and run any "smartphone" software on a Verizon Moto Q.