It will somewhat stabilize. With Call / Put options, you can start to create a straddle for instance, and make money if the market moves in either direction.
http://commodities.about.com/od/futuresoptions/a/futures-opt...
I'd expect the first strategy people will do when a futures market opens is to start making a lot of straddles. Therefore, these people make money if the market moves in ANY direction, up or down. (the more the market moves, the more they make money). Thanks to the magic of options.
A ton of people buying straddles will slow down the movement of the market. Then the straddlers make less money when the market fails to move.
Every time someone profits off of straddling, the market volatility decreases, leading to an overall more stable BTC market.