This episode is packed with a ton of references to Japanese Culture. This includes upholding family traditions ("We have family togetherness time"), clothing (Dexter wears a Japanese boy's school uniform) and transportation (the bullet train Dexter takes to school).
For entertainment refernces, this episode mocks the Godzilla franchise nicely. It also has refences to the popular anime series Gundam Wing. The two boys who engage Dexter is a mini-mecha battle are modeled after two of the lead characters from the series (Heero Yuy and Trowa Barton).