Color me confused. The only non-stop I find gets in @1:28 pm. If you are connecting, you just stay airside.
Are you over nighting on Oahu? Whose stock are the HNL-KOA tickets on?
One way or the other the interisland terminal TSA is like any other airport; sometimes a walkthrough and sometimes a half hour line. So don't stress, just get there with a EXTRA hour and walk around the old but likeable terminal.