Egyptian-Classical sources thought the Hyksos were Hebrews/Israelites.
Gerald Massey thought the Hyksos were Egyptian heretics.
Early Modern scholarship thought the Hyksos were Aryans.
Modern scholarship has the Hyksos as Semites.
If I remember correctly a source connected the Shepherd Kings and/or the Philistines with the Pali and invasion of Tamo-vatsa?
Velikovsky thought the Hyksos or Amu were Amalekites (Biblical) & Omaya (Arabic/Muslim).
Jantsang thought the Hyksos were Iki-Ogus (people of Ogus Khan).
Rohl connected the Hyksos with the Anakim.
A forum poster suggested the Hyksos were Edomites.

Probably they are most likely Semites - Edomites - Amalekites brothers/cousins of the Hebrews/Israelites (both from Isaac).