The fact that so many gifted child have sensitivity issues aligns well with Dabrowski's Overexcitabilities and Theory of Positive Disintegration. However, it runs completely contrary to our local school, which assures me that it's not normal for gifted kids to have emotional or behavior problems.
I don't believe your school... every gifted adult/child that I've ever known (myself included) is quirky in some way or another.
Maybe the issue is that the school sees it at being "emotional and behavioural problems." Sometimes it's just quirkiness. That adds another element to the concept... at what point is it actually a problem, Vs. simply being differently wired than the mainstream (ie a compatibility difference with the environment or typical expectations)?