The problem is that the 2nd man definition of a "good" life is one that serves himself.
That man doesn't see the point of serving anyone but himself.
The 1st man knows he should act selflessly. While he occasionally does so, he too acts in his own interests all too often.
Neither man is good and neither lives a "good" life.
Still, the 2nd man is lazy and simply going with the flow of his base instincts, while the 1st man, while often failing, strives to rise above his base instincts.
Both men are condemned to Hell, but the first man understands he can't ever do enough good to make up for all the bad. That man submits himself to the saving grace of God and receives salvation as a free gift (not something earned).
The 2nd man spends his whole life pushing God away from himself and then complains when he ends up in Hell, which is simply the absence of God.
The 1st man is foolish, but redeemed by a just God. The 2nd man is just a fool.
A person can serve his own interests while serving the interests of others the two are not mutually exclusive
One can act selflessly with no expectation of reward and with no fear of punishment if he chooses not to.
One who acts selflessly because he is afraid of eternal damnation if he doesn't or expects an eternal reward if he does is not true in his intentions and is indeed acting solely to avoid punishment or to gain reward
Now tell me who is the fool and who is making the purest choice?
Multiple problems with the perspective, behind your flawed premise.
First, provide an example of where someone is acting selfishly and selflessly at the same time.
Second, the issue is not whether someone can occasionally act selflessly (act morally), but whether they can BE moral.
One can't BE moral unless they are selfless all the time.
i got news for you, cup cake, no one fits that bill, all that time.
Third, I didn't become a Christian because I was afraid of Hell (and I don't personally know anyone who became a Christian for that reason). I became a Christian because living life as a non Christian wasn't working for me.
There is no purer choice, because neither man is pure enough.
An impure being can make a pure choice just as a person can serve both himself and others.
As a volunteer wilderness first responder I was taught at all times to guard my own safety first before rendering aid so I was not only looking out for myself but I was also rendering aid to people in need.
I suppose you think I should have thrown my personal safety to the wind so as to be selfless but tell me what good is having 2 people die on a mountain?
And I am not addressing why you became a Christian I am addressing the motivation for living well.
I notice you didn't say you didn't become a Christian for the promise of an eternal reward.
A man who will live a good life of his own free will knowing there is no reward has the higher moral ground than the man who lives the same good life but is motivated by a reward or does it because his god tells him too because if there were no reward or no order from god then he wouldn't be motivated to do good work.
I simply disagree with the choice of the word "pure". There are no "pure" people, we are all compromised by sin.
Can sinful people make "pure" choices? We'll never know because we can only see the outside actions, not all the internal and external factors that go into each and every choice. Only God can see what is in a Man's (or Woman's) heart, so only HE truly knows what motivates any individual act.
It appears that you had to twist yourself into a pretzel to come up with an example of an act which was both selfish and selfless at the same time.
I don't know that foolishly getting yourself killed is more selfless than using discernment to aid people in a way that is more helpful to their situation.
I note that you want us to have a broad, open mind and generous spirit regarding the competing motivations of a non Godly person appearing to act selfishly, but won't extend the same courtesy to the Godly person appearing to act selflessly.
I can't say that I don't ever think of Hell and that those thoughts don't occasionally change my behavior, but even as a Christian I have as hard a time conceptualizing Heaven as you do Hell. As a selfish sinner saved by Grace I probably don't think about either enough.
I know this is your main point and I'm going to give it to you, but not in the way you expect.
Ultimately you are asking whether a non Godly person can be a better person ( using mankind's standards) than a Godly person.
The simple answer is yes. The church is a hospital for sinners, who realize they've been infected by sin. That hospital is open to all, even those who have done some very bad things.
The more complicated answers is this. An understanding of Christianity should produce in the Christian a profound awareness of all of the bad things they have thought, said and done. This is the weight of our sin that we lay down at the cross and seek forgiveness for.
Like the apostle Paul that has awakened in me misunderstanding that I am the chiefest of sinners.
Put more simply, because I am truly aware of how short I've come from being good, I see everyone else as better than myself.