I dont know about running, but I do know about barefoot. I have always been a "no-shoes" kinda guy. The less I deal with them the happier I am. Seriously, if it is a cold spring my friends will avoid me till the weather warms up. Unfortunately I live in Illinois, and we have those times of year where frostbite is the natural result of barefoot. So every winter I put on shoes :(. This causes me to revert to heel walking (a natural result of shoes). Once the shoes come off it takes about 2 days to get back into midfoot walking. This seems to me to feel more natural, and my feet just sort of do it. I presume this will be similar for you, maybe not quite as fast, but I am certain your body will have walking instincts for barefoot styles.

HTH