Actually if I understand what you're trying to do correctly, you may end up doing more damage than good. I'm guessing you're talking about plugging a UPS into an inverter and plugging a surge protector into that? If so you need to be very careful. Do not ever plug a surge protector into a device that outputs anything but pure sinewave. Most cheap inverters put out square wave or stepped wave which a surge protector may see as a surge and try to shunt it, thus damaging both the inverter and the surge protector.
It MIGHT be acceptable to plug a UPS into an inverter that puts out pure sine wave but unless the UPS ALSO puts out pure sine wave you don't want to plug another surge protector into that. Also there's little point in doing that anyway since the UPS has surge protection. It would make more sense to plug the surge protector into the inverter and the UPS into that if you insist on using both. Keep in mind that most cheap UPS's also put out stepped wave.
Since you're plugging this all into an inverter in a car, why do you even need surge protection? I'm not sure that a normal shunt mode surge protector will even be effective in such a setup. I'd say if you insist on doing this you be VERY careful or you'll probably do more damage than good.
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