It is this order to choose Allah above his sense of conscience and compassion that imprisons the Muslim in a mindset that is archaic and extreme.

If moderate Muslims believe there should be no compassion shown to the girl from Qatif, then what exactly makes them so moderate?

When a “moderate” Muslim’s sense of compassion and conscience collides with matters prescribed by Allah, he should choose compassion. Unless that happens much more widely, a moderate Islam will remain wishful thinking.