It is not really possible with the flick of "the switch" in the back to maintain a reliable vehicle. Like others have already said, without the ability to charge the small 12V battery, you will be walking soon. If you remove the IMA "guts" in the back, you will only save probably about 68 lbs. (the battery pack weighs 48 lbs but I added another 20 for the other stuff). Now the problems that will happen when you do:
Upon turning on the ignition, you will get a check engine light and an IMA malfunction indicator. (some inspection places will not pass your car) Assuming the 12v battery upfront is in good shape, you may be able to startup and drive for a couple of days before battery depletion. Your timing may vary based on headlight usage, etc...I guess you could hook up your battery to a charger every night but that would mean that you can't take the Insight on a long trip. If you put an alternator in the car yourself, that would probably take care of the charging system but it may rob more power away from the engine just when you may need it. (most of the time, the current design will stop charging the IMA battery if you really need the power to accelerate) You will also lose auto stop functionality. (If you use the key method as a forced autostop, you will wear out the backup starter motor within the first or second year.) Lastly, you will not have the same performance that you currently do. Not that the Insight is a screamer, it performs very well considering the size of the gasoline engine (slightly less than 1 liter). Since I have never turned off "the switch" (or removed the IMA "guts"), this is only my best quess as to what will happen.
I may have gone a bit too far in the description after reviewing your question again. If you are only wanting to try this as a temporary experiment, then that's a different story although I wouldn't drive too far from home during the test
I did see trunkout's post about the 100 miles per day for three weeks but I can only say that the IMA system must still be charging his battery. I do not know for how long though. The only thing that I know from reading trunkout's reports is that his battery did not fail, an electronic part has failed within the IMA components (according to Honda) but it doesn't mean that his IMA system is completely disabled. I don't think that the battery circuit breaker has been turned off either. My best guess answer is based on if the IMA system was completely disabled.
JoeCVT - Just your average CVT owner