Hi, Ben,
I have checked the data sheet of the 12 bits ADC of MC56F8367, we do not do the test for the temperature impact on the ADC result accuracy, i am sorry.
Regarding you case, if you connect the ananlog GND to ADC analog channel pad, what is the result?
If the temperature sensor has large output impedance, I suggest you connect a buffer with analog amplifier to reduce the impedance(connect the temperature output signal to non-inverse pin of AMP, connect the inverse pin of AMP to output pin of AMP).
I suggest you use external voltage reference for the VREFH pin of ADC.
I suggest you use independent power supply for the VDDA pin.
Hope it can help you
BR
Xiangjun Rong