I know its a bit late in the conversation, but I'd just like to add my two cents... Before the "invasives" arrived, the natives dominated the landscape. When these “invasives” did arrive, they shoulder the natives aside in certain areas. Say I manage to shoulder the “invasives” aside for a bit, how long will it be before the invasives manage to take over again for the same reason they did in the first place.
I have honeysuckle, multiflora rose, autumn olive, and Japanese barberry in abundance on parts of my property. Like it or not, the rabbits love the cover honeysuckle provides, the turkey take advantage of the barberry all winter, and the bears devour the autumn olive. The deer eat all of it! I clear certain areas of these invasives if I am trying to establish young oaks or apples by cutting and spaying with gly. Over time, these trees will likely shade out the invasives, and until then, they are able to co-exist with them. I think it would be an exercise in futility to try to rid my property of all invasives. I think you're on the right track Bob - sometimes doing nothing is the best plan, at least to start.