The phone volume is turned down and the amplifier volume is turned up so that another reason why there is lots of interference picked up.I use the input from the audio jack on my mobile phone and connect it to the amplifier. I usually turn the volume in my phone down(will be set to 30%) as my amplifier amplifies it to a great extent . Anything above 70% will make the music jarring , my speakers won't be able to handle that.
Instead, turn up the phone volume (but less than clipping distortion (you call it jarring?) then turn down the amplifier volume so that the music does not have clipping distortion and the interference noise is also turned down.