Diverdave, I strongly disagree with your revisionist history.  White men led the revolution comprised of white men.  When these white men formed their own government, they effectively disfranchised Native Hawaiian voters.  These white men also expressed a need to uproot Native Hawaiian culture (see Beamer) in order to see their new government succeed.    

So, no.  The Republic's legislature was not dominated by Polynesians. It was almost entirely comprised of white men.  The executive branch was entirely white men.  

Do you know why Robert Wilcox and Jonah Kuhio were elected as Territorial Senators?  It's because when the U.S. "took over" and the Republic was dissolved, Native Hawaiians could finally participate in politics - and they used their right to vote to vote-in two Native Hawaiian senators. 

In June, 1900, Queen Lili'uokalani addressed her people, explaining to them that they could have a voice under the U.S., whereas they did not have one under the Republic.