There is a developing consensus that supports the link between diet and mood within the wider community and, anecdotally, a large proportion of parents attest to dietary intervention being an effective therapy for their autistic children. For many a casein and gluten free diet for autism is now quite common.
The polyvagal theory can provide a framework for understanding the mechanism by which a dietary intervention can be useful, however autism is a multi-faceted issue and a range of approaches are necessary. Always consult your doctor before adopting any dietary changes.