Votes per period might not work. You could in stead accumulate votes over time.
Of course the proposals could repeatedly go against a specific group. Not sure if you could create a unit of accounting for it or have some kind of independent jury examine the gaming.
I also wondered if the price could scale with the % victory. Like, if 100% votes A it costs zero votes. 51% would be the most expensive.
Maybe give the proposal makers a bunch of tokens, filling a proposal costs x, each vote against it costs y.
The core thought is basically, if people are overly attached to something they will get it but will have reduced influence on everything else.