I do believe that Muslims and Christians and Jews pray to the same God. And yet they understand who God is in significantly different ways.
We lead our lives well when we love God with our whole being and when we love neighbors as we (properly) love ourselves.
God is the utterly loving giver. God doesn't just love. God is love.
The difference between justice and forgiveness: To be just is to condemn the fault and, because of the fault, to condemn the doer as well. To forgive is to condemn the fault but to spare the doer. That's what the forgiving God does.
If somebody postulates the existence of more than one god, I would have to say we don't worship the same god. If somebody says that God is basically one with the world, I would also have to say we don't worship the same god.
To affirm that God is God is to want to live in a particular way.