the heat in the car never comes all the way up, so I dont think it is warming all the way up. will the sensor heat the motor up more?
No, the sensor tells you how hot the coolant is, which is controlled by the thermostat,
you could of got a low temp stat that was miss marked or miss packaged, should be either
a 180* or a 192* and the stat should have the # stamped on it around the edge.
Later models had a rubber gasket that fits around the edge of the stat, make sure it's in there
or the stat can't control the temp because the coolant is leaking past and not getting up to temp
What are you driving year and model, this would help to ID the problem too
Wild