If a market is being highly influenced by people hedging their bets, then there is significant arbitrage opportunities for others to make money offsetting that. Prediction markets with decent liquidity should be fine, and in fact the presence of a group with hedging interests presents more opportunities for others to do this arbitrage, helping the market.
You appear to be unclear on the meaning of "arbitrage". Simply taking a position that has positive expected return is not arbitrage; it's just plain investing. Arbitrage has positive (or at least nonnegative) 'guaranteed' return. Arbitrage involves taking both sides of a bet, but with a spread. If a lot of people are "overpaying" for one side, that doesn't create arbitrage unless there's someone else "underpaying". In cases where people are hedging on both sides (for instance, corn growers hedge by selling corn futures, pig fa...
When does a bet fail to reveal your true beliefs? When it hedges a risk in your portfolio.
If this claim does not immediately strike you as obviously true, you may benefit from reading this post by econblogger Noah Smith. Excerpt: