One thing to consider, if your lift is worth 2000-4000$ or wathever you end up paying for it, in the event of a complete loss, like a fire that destroy your house and garage, do you have enough coverage for what the insurance will give you to cover all your belongings including the lift? Will the insurance agree to give you the money to replace your lift? You need to determine the value of everything you have and what is the maximum the insurance will be paying you in case of lost.
An insurance company might see a lift as a greater hazard to property damage or personnal injury in the event of a failure I assume. If a car falls of the lift (either accidentally or due to nature (earth quake, etc.)), will the insurance pay for the damages done to the car?
Even if it's for home use only, their are still some potentially expensive liabilities you might not be confortable to go on without proper insurance.