No, not really.
An upgraded intercooler would lower inlet temperature, creating more power (assuming the required extra fuel can be provided). Cooler air is more dense, so having cooler air will produce the same kind of effect as having more air.
Removing the thermostat would just mean the engine would take much longer to reach operating temperature, then over cool when cruising. Both of these are bad as it will waste fuel, cause faster engine wear and soot up the exhaust / cat(s) /plugs.
If it was overheating before then the reason should have been determined. Bad thermostat / bad water pump / bad radiator etc.
Or the car has been modified enough to create more engine heat than the stock cooling system can handle in which case a larger radiator may be required.
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