Technically, bodily injury refers to what you do to someone else, in the form of liability injury that you cause.
I think you are thinking in terms of med pay, which covers passengers in your own vehicle. Typically med pay is a fairly flat rate, regardless of type of vehicle, although some companies are taking the vehicle type into account for med pay rates nowadays.
The type of vehicle typically most affects your liability (how hard and often a particular model of vehicle hits others, statistically), comprehensive (usually frequency of theft), and collision (statistical frequency and severity of damage).
The Passion and Pure have an ISO (Insurance Services Office) "symbol" 8, the Cabrio a 13. This is based on a scale of 1 to 27, with the higher the numberical symbol the higher the rate. The 8 is the lowest symbol of any vehicle on the road today, save maybe a base model Chrysler minivan.
(The lower numbers belong to older models, the scale has been increased over the years to keep up with rising costs of vehicles.)
Your credit score can affect your insurance rates far more than the type of vehicle these days, and people don't realize that.
If you are calling or going online for quotes, if you give your address, you are most likely being credit scored, whether anyone's telling you or not.
But anyway, back to your original question. based on pure rates and assuming you have good credit and driving record, the Smarts have just about the best rate of any car or cabrio on the road.
"the car", "la voiture"
Big Red
R2-D2 42
Is this a typo?!? $347 a month for INSURANCE?!? I'd move out of that state if that's the rate! 
Here in Rhode Island it's roughly $1000 per car per year.
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