My DS2 outgrew his issue with milk (we actually never fully determined what all he was reacting to but milk was among the issues) by about 12 months, although later after I started coming to this forum I wondered whether his symptoms had just changed to something less obvious. But at this point (almost 6) he seems to be a healthy, happy, well adjusted kid with no obvious GI, behavior, sleep, or other issues.
DD is almost 3 and still reacts to milk and soy. Milk is better than it used to be - a little bit of gassy, loose stool but no real major changes in behavior. Soy is an extreme behavior reaction and a much less significant GI response than she used to have.
DS1 is almost 8 and is getting tested next month so I'll get back to you on whether he has outgrown his. Our attempts to eliminate milk haven't shown improvement in his issues (GI, skin, and general immune system issues) but I haven't been successful at getting him, DH, grandparents, etc to buy in to the need to try long enough to really know. We haven't done any significant healing interventions with him though. He's my project this year - LOL.
Oh yeah, I forgot about your question of goats milk. DD definitely still reacts to goats milk too. Never tried goats milk with the boys b/c I never did a serious ED with them.