People choosing to kill themselves do not know what they are choosing, since none of them have ever died before. This is true for atheists as well as for believers. The wish to die occurs to everyone and is no different than any other wish. It comes and goes very quickly. It often co-exists with the wish to live.
Time often helps people to change their minds about the wish to die.
A person on the verge of a suicidal action needs different help procedures than one who is in between attempts, i.e. high risk for a repeat self injury. People on the verge of suicide, need support, blocking of access to a chosen method of self injury, and time to help with the wish to die. After rescue, victims continue to be vulnerable to the various psychiatric syndromes, especially addiction or self medication to allay distress. Two or more prior attempts increase the probability to one in ten survivors. Continuing or renewed substance dependence is a third.