For comprehensive coverage insurance rates are a lot based on the blue book value of your car. Honda Civics, especially hybrids, retain their value very well. So if the blue book value on your HCH is worth more than your old guzzling SUV (whose resale value is getting killed with gas prices this high), that is the reason for the insurance hike.

For liability only your rates should be based on the size of the car mostly in which case they shouldn't be high.