Thanks @TheChristianEgoist. I agree that there is disagreement between these two parties and it's based on their world views. As a start, I would like to focus the ethical conclusions that form common ground for Objectivists and Christians: what they agree on from their respective positions. Instead of fighting among ourselves, we can advance the ideas of limited government, individual liberty, and personal responsibility in a social and political climate that is characterized by the opposite.

My personal comparison:
Rand- philosopher and novelist, wrote some great books, perhaps among the greatest.
The other- there is no historical evidence that such a person existed. The myth was probably started by a drug cult with imagery derived from Hindu as well as middle eastern cultures.
Rand's philosophy deals with existence and the essential role of thinking by the mind using logic. Individuals have rights including the right to seek happiness tho' without infringing on the identical rights of others. Christianity needs belief in the supernatural. The key concept of faith is needed which is belief without evidence, this is regarded as a merit.
In Christianity, 'The love of money is the root of all evil'.
With objectivism, analysis shows the worship of altruism is inevitably followed by undesirable results. Money is a store of value, a tool enabling trade between willing adults.
Quite different.
This does not preclude alliances against the 'religion of peace' and the collectivist 'new class' previously known as Marxists. Both advocate aggressive violence and theft when it suits them. These two apparent opposites seem to be hand-in-hand at least in western countries. Pragmatic common action by those opposed may be useful.