Ahem.
It appears that my premium membership has expired today, which means that I can no longer create polls. So as it appears, the "Pikmin Regime" was the winning name suggestion. However, I do think it's rather unfair that other name suggestions weren't able to be given a chance in voting. So here's what I'm going to do.
Between the "Pikmen" and "Pikmin Regime", send a PM to me including your vote for the Olimar support group name. Yes, this is another poll; a ghetto version. Wiseguy, as for your suggestion the "Hocotate Defense Force", I agree with IllidR that it really doesn't represent Olimar completely, and almost nobody who hasn't played the games will know that it relates to Pikmin.
So! That's that. However, I do not want you guys to post your votes in this thread. What a waste of a post count! Please PM me your votes instead. I'll definitely be honest and announce the true winner.
Any new name suggestions will be ignored. No matter how completely awesome they might be.
Actually, I don't think it gets any better than "Pikmen". ;o