Haggling may be out of the question during the good days but recession has sent many people negotiating with their providers for better more competitive prices. Insurance may seem as a fix-priced industry but with too may people in between you and the actual firm, haggling must become natural. Agents usually get commissions from sales of policies but these can be negotiated from. The actual policy price is still the same, the agent is the one who sacrifices a little for you in the process.
Not accepting your request for a re-evaluation of your policy, take your business somewhere else. The hard economic times are sure to have many providers eager to take the place of your current one (it may actually get the old provider to offer a lower price as they try to keep you.)