@PitaJ I was able to do it by giving the nav button a unique ID in the ID section and then just controlling the tooltip/button action in JS under the custom JS section. Surprisingly easy to do as it turns out.

I did create a test account but because the permission only says "Poll" it was unclear whether or not if it controlled participation or creation. But you've answered that. Looks like I'll have to figure out how to modify the plugin for a permission to control participation base on group. Thanks for the in depth answer.