You may have a hard time finding someone to insure your vehicle for physical damage, which is the only coverage your question relates. Try a quote with us through Progressive.
Many insurance companies will not insure vehicles with 'rebuilt' or 'salvage' on the title. If you find a company who will insure it for comprehensive and collision coverages, if your vehicle is "totaled" in an accident. I believe they will pay a lesser value than a vehicle that does not have "rebuilt" or "salvage" on the title. This is the reason most insurance companies won't insure these vehicles. You may be able to get a classic car insurance company to give you insurance for a "stated amount."
If it is not a stated value policy, the insurance company will pay the vehicle's "actual cash value" (minus the deductible you choose). This takes the vehicle's depreciation into account.
You can obtain an auto insurance quote for a collector car with our partner Safeco and our partner Progressive will write a policy with a salvage title.