Mr. Hahn, I have a Juris Doctor and the focus of my legal studies was on international law.  Please keep this in mind when I say that your analysis of state continuity is incredibly flawed.  

A failed attempt by a people to restore their government following an insurrection does not end state continuity.  For your information, continuity of the Hawaiian state is most-likely preserved: wrongful acts (like an overthrow or illegal annexation) do not extinguish state continuity.  

Here's how you'll know if the Hawaiian State comes to an end: 1) the majority of Hawaiians (those descendants of Hawaiian Kingdom subjects and Hawaiian Nationals) come together for a referendum, whereby they extinguish the sovereignty of the Hawaiian State; or 2) a Hawaiian government is established (by those same descendants) and that government extinguishes its sovereignty.  

Conquest, as a means of extinguishing sovereignty, is not recognized (see the 1928 Kellogg-Briand Pact).