Yeah you should probably trust those figures instead of rolling with your own head cannon of what you want things to be. I don't see anything in the methods that are particularly suspect, do you?
You need to be open to a reality where the Palestinian people support Hamas because historically, they have. It also shows in polling. Keep in mind the fact that there haven't been elections in Palestine for as long as there have , is part of a strategy by Israel and the US to delegitimize Hamas.
Like, think about your sentiment for a moment. Your basically arguing that Palestine picked wrong and the occupying, colonial settler project know better who should lead the Palestineian people than the Palestinian people.
You are either in favor of democracy, and you work with whom people elect because that's how it works, or you are against democracy. You can't really have it both ways.