"Allah is the generic term for "God" in Arabic, used by Arab-speaking Christians for centuries before Mohammed was born. And they still use it today
And yes, the term may have pagan origins, but just where do you think the term "God" came from?
People may use the same term, but have major differences about it's definition.
I'll go with, "In the beginning, God....."
Any other redefining of who God is outside of the Word is an incorrect definition as He is the only God there is.