I've overwintered some of my figs in a sunny window in the past, and they came out of dormancy and leafed out months ahead of time. When the weather warmed and I put them back outside they just seemed to adapt and continued as normal. Honestly, since figs are from the middle east/mediterranea they get by fine with an extra long growing season. They are grown in places where they never lose their leaves at all, just ask any fig growers in southern Florida.
I wouldn't worry about your plant getting burned in the sun after moving it outside. If you give a sunny window during the winter and take care of it, it should be hardened enough to put in direct sunlight when the weather warms.
Hope that helps.