From the datasheet, I'm fairly sure that GND of MAX333 should be connected to GND of the arduino, not the 2.5V. That GND pin is the reference for the logic level applied to the IN-pins, not the audio signal.
Current though the IN pin will go out through GND and through the voltage divider, affecting the voltage there. That voltage is the reference of the audio signal, which is why you might hear it.
You might want to disconnect NC1 again, now that I see the schema, I don't think that is it.
What values do you have for R1 & R2? Also, how is the arduino powered?
p.s. I assume we have to thank this auto-layouting tool for shortening GND1 and VIN on the arduino