Both will essentially rely on the same type of argument for they can find no sensible evidence to support either view. Hence, both argue on the mere faith of their beliefs.
Yet, the atheists seem to be winning in the courts claiming they want a separation of church and state. The courts are blind to the church of the atheists. Don't ask me particulars for the church of the atheists. Go to the ACLU, Ayn Rand, etc. to get details on the denominations. Some denominations, like the communists, have a whole system of commandments and altruistic rituals. Others, may be more like free spirits. It varies just as those churches founded upon a God.
The courts should throw the atheists out for violating the First Amendment.
It depends on the priest.
There is a story told of a priest in Old Russia, who was approached by a man who professed that he wished to believe in God, but couldn't--the intelligentsia in the 19th century was quite familiar with the refutations of the rationalistic proofs of God's existence. The priest did not present an argument, but gave him an icon of Christ, and told him to do 100 prostrations before the icon each day, and return in a year.
When the man returned after following the instructions, he was a believing Christian.
I tell the story because it is an error shared by Western Christians and atheists alike to fancy that theology is a synthetic science like mathematics, rather than a positive science like physics or biology. Noetic experience of God in prayer--even the wordless prayer of a prostration before an icon of Christ by one who doesn't yet believe--is the basis of the knowledge of God, not 'proofs' from 'necessary' hypotheses.
I am, however, charmed by the 'seventh proof' of the existence of God offered by the Devil during his visit to Bolshevik Moscow in Mikhail Bulgakov's novel The Master and Margurite.
Christ is risen from the dead, trampling down Death by death, and upon those in the tombs bestowing life!