This question is entirely reliant on your own morals, as you ask it in the context of whether or not Christians can be relied upon to "arrive at commendable moral convictions." In this way you're are asking whether or not a Christian can have moral convictions that are commendable in your opinion which as a self-described anti-theist isn't often likely, and is rather self-evident.
The only other context for your question is that there is some form of universal law of morality, which would then have to be defined, which you have not done, thereby making the question unanswerable.
As to your question of whether or not Christians can "ponder deeply the different difficult moral dilemmas or social conflicts that often throw themselves at humanity" I would answer yes, though pondering a moral dilemma deeply would not have to necessitate a conclusion different to those presented in Christianity. I would also say that Christians themselves would say that it is not always necessary to do so, as they would answer that in some situations a morally correct course of action is apparent due to our inherent knowledge of what is right or wrong.
I admit that I have difficulty in seeing the sense of this question, as it is entirely based upon morals, which you cannot judge people upon (let alone whole groups) unless based upon a universal moral foundation, something that I don't see can exist from the viewpoint of an anti-theist, as what is right or wrong is surely by your logic, a matter of opinion.
The only other context for your question is that there is some form of universal law of morality, which would then have to be defined, which you have not done, thereby making the question unanswerable.
As to your question of whether or not Christians can "ponder deeply the different difficult moral dilemmas or social conflicts that often throw themselves at humanity" I would answer yes, though pondering a moral dilemma deeply would not have to necessitate a conclusion different to those presented in Christianity. I would also say that Christians themselves would say that it is not always necessary to do so, as they would answer that in some situations a morally correct course of action is apparent due to our inherent knowledge of what is right or wrong.
I admit that I have difficulty in seeing the sense of this question, as it is entirely based upon morals, which you cannot judge people upon (let alone whole groups) unless based upon a universal moral foundation, something that I don't see can exist from the viewpoint of an anti-theist, as what is right or wrong is surely by your logic, a matter of opinion.