I see in the datasheet that the typical common-mode output voltage is 1.44V, and that's with a VDD2 of 3.3V.
If the gain is 1, and the linear input voltage range is 0-2V, does the output swing beyond VDD2 and below GND2? It seems that VOUTP would vary from 1.44 - 3.44V and VOUTN from 1.44V to -0.56V, unless I'm misunderstanding something.