Add an "I don't support" option to projects, which then filters them out by default
This would make it realistic for regular users to view all new projects. They look at every project once, and give it a thumbs up or down, then next time they visit they can see only the new projects, without their view being cluttered up with projects they already supported or decided they wouldn't.
(Idea from blog post comment by HonorableSqueamishJay, copied here so it can gather votes)
Perhaps a little radical and definitive (even projects that are a priori mediocre are entitled to a second chance, right? XD), but interesting idea for those like me who, for the sake of fairness, would like to judge and eventually support as many projects as possible (absolutely discouraging with the "26492 results" to date)!
3 votes anyway for raising the issue.