One other visual identifying difference: if you watch both kinds in flight, the beautiful high-contrast pattern on the Mourning Dove's tail is obvious. The tail is also noticeably longer than that of the eurotrash dove.
I haze the eurotrash doves with steel cans, either the noise from shooting one when the bird is around, or by banging one with some rocks in it on a hard surface. Because their in-VA-sive, loud call is intended by the male to brag about a good potential nesting site, I also make loud noise myself to drown it out.
Aural identifying pnemonic:
In-VAAAAAAY-sive, In-VAAAAAAY-sive, In-VAAAAAAY-sive! (Eurotrash dove call, louder and repeated more often; definitely a "proclamative" sound to it, like "it's MY place, it's MY place, it's MY place")
We-ARE-Mour...Ning...Doves... (much softer and not as repetitive call of Mourning Doves; definitely a cooing sound)
Good job exterminating some of the invasives! I hope to improve my shooting enough to help out.