The key word in their name is "Independence." Note that this does NOT say "independent." These are not, and never were, moderates or independents in any way. They were extremists.
They advocated for decades for Alaska to retreat from statehood. They were pretty much the Alberta separatists, only without the foreign sponsorship. Weirdly, it's debatable how core the separatism was to them. It was never formally adopted in their party platform--although they consistently called for a referendum.
By the time I encountered them in the 1990s, they were a right-wing/libertarian extremist party with all the platform planks one would expect.