If you look closely at the pic of Misa and the model Valk (see previous entry), you will see another smaller plane model on the desk. That is a model of the VF-4 Lightning III. The Vf-4 isn't even in the movie that screen is from! Its only animated appearance was in SDF Macross:
Flashback 2012 . Flashback 2012 was a sort of music video/epilogue to the Macross movie. Anyhow, above you will find a few pics of the VF-4.
I don't have any proof of this, but I speculate that the nickname "Lightning III" was used in reference to the
P-38 Lightning and the
F-22 Raptor . During its development, the F-22 was referred to as the YF-22 Lightning II. If you look at both aircraft, the (fictional) VF-4 has some characteristics that could be traced to both real-life planes.
(one more on this topic to come)