I think you guys are trying to draw more direct and complete paralells to our life and times than are offered by the TV series.
And I don't think you'll find Muslims calling Allah their "Heavenly Father," nor speaking much of salvation from sin by the Word of God and the way of love.
I know a lot of Moslems, including missionaries. They talk about a lot of things including material that sounds suspiciously in the Judeo-Christian tradition.
One thing that needs to be taken into account is that this being a fictional series, deliberate steps have been taken to obscure the who-represents-who. While it does bravely take on a lot of present-day controversies, it is not trying to be a mirror of the present day, it is trying to be a work of fiction. This deliberate obscuring of symbolism allows the show to appeal to broader audience, and thus make more money for its creators.