Atheism is a belief position about a single topic. It doesn’t offer anything, it simply states a lack of belief in even one deity.
That is not to say that atheISTS don’t individually have ways to deal with life and help others deal with life. It is just to say that those ways don’t come from some sort of “ism”. There’s no atheist pope, no atheist holy book, no atheist agenda. This is why it is sometimes referred to as “freethinking”. One can freely inquire into what works and what doesn’t, and why, and decide accordingly. For themselves, not for others.
So I can only speak for myself in this regard: if someone needs encouragement, I encourage them. If they need support, I support them. If they need (and ask for!) advice, I either advise them, or if I don’t have the required expertise, I refer them to someone who does.
Sometimes people just need you to be present and to see them, too, more than they need “answers” (or absolution for that matter). Guilt serves a purpose … to take responsibility for your harmful actions and make required changes AND THEN MOVE ON. It’s really a special form of empathy. But guilt in the sense of a Black Spot that one needs Cleansed by some external mechanism is mostly a religious construct and a form of learned helplessness. The doctrine of utter depravity is especially pernicious in this regard. If humans are utterly depraved then they are not responsible for their own actions or continual improvement; rather, it is on some supernatural entity, and a rather capricious one at that.
I don’t think it’s productive to regard people as “broken”. I have survived the death of a spouse, and of my youngest child, but I am not therefore “broken”. I am scarred in some ways I suppose but that doesn’t become my entire identity; these are just more experiences that have formed me. Seeking to be “fixed” would be a misdiagnosis. I prefer to integrate and adapt, to find new purpose and meaning. It does not help people who are hurting to reduce their agency and their options to deal with the matters before them. It’s no different than demanding that someone whose leg is broken fix it “by faith” rather than getting the bone set and a cast put on.
It may be helpful for you to compare and contrast the realm of religious belief vs unbelief. The motivation of religious belief-systems is to offer some promise of personal character and quality-of-life improvements or some form of dire perceived need as an inducement to join the club, so to speak. Religious unbelief has no motivation; rather, it is a RESPONSE. You cannot MAKE yourself truly believe anything. I’d argue in fact that “deciding” to believe a thing isn’t true belief. Religious “belief” is very fragile, which is why it must constantly guard against things like apostasy, doubt, and temptation.
An unbeliever simply finds themselves unable to believe the truth-claims of any religion concerning its deity. Most atheists are former theists who experienced cognitive dissonance because the truth claims of their religious system of choice did not prove true or sometimes even helpful in some way. They began questioning it, and as Hitchens once said, “faith disappeared in a puff of logic”.
On the other hand, some atheists (my present wife being a good example) simply never saw religion as anything but a lot of ridiculous and absurd claims and false incentives and dismissed out of hand that which is presented without evidence. But most of us escaped some form of religious indoctrination.
So it’s just a personal response. Unlike religion it has, in and of itself, no need to convert anyone and is very “live and let live”. It certainly sees great societal harm in some of the practical knock-on effects of religious faith (belief based on assertions that not only aren’t, but can’t be, evidenced) – a tendency to authoritarianism, for example, or to magical thinking and consequent bad decisions, and so we would on some level like to see every religious person cast the shackles off their minds. But most of us understand quite well that people can only do that for themselves, so we are not proselytizers. People leave religion when they are ready, and not unless and until. And we have no skin in the game – no organization to enrich by people’s “deconversion”, no status to be gained, no command to fulfill. We probably won’t even be aware of most such events; we don’t grill people about their (un)beliefs and in practice the topic seldom comes up in real life.
Of course, online like this some of us seek out discourse on the topic because we have an interest in it, usually courtesy of our former religiosity. But you’d have a skewed perception of atheists if you judged them entirely by the minority of them that bother to be online in this way – or the minority that are militantly anti-theist (and yeah, those are also over-represented online).