there is a difference between not being able to be there due to reasons you cant help and not being there due to reasons you can help. a child isn't stupid, it will know that its father has abandoned it and this will cause it much distraught. eventually the child will grow up and ask where his father is and if the father could be there but chose not to be, that is going to equal one unhappy kid. and to be honest, he/she deserves a better father like that.
your making out a father is reponsible for moulding the child into a decent muslim ? hows that so, wen the father is responsibility for being the worker ?
directly and indirectly both parents have a role in raising their children be it a female child or a male child. lets take what you said about being the worker for example. . when the child grows up, if there is no male present (in this case for working) is the child going to know that a
male needs to work for his family?
the fathers sole responsibility isn't just working either. he needs to discipline his children as much as the mother needs to and he needs to show them affection as-well. his role isnt merely to to bring the dough home...it doesnt stop there.
Though both these things (raising children and showing affection to them) are seen as the mothers job, truth of the matter is, it goes deeper than this. reason is both parents (mother or father) are role models for
both genders that their children may turn out to be and it isnt simply a matter or "a male (father) is the role model for a male (son)" or "a female (mother) is the role model for a female (daughter)."
sometimes, directly or indirectly, the role actually "swaps over" simply because it just the way it goes. a mother cannot teach her daughters what to find in a husband and father for her own children...a father does that. and likewise a father cant teach his sons what they should find in a wife...a mother does that.
but the point is, is that parenthood inst exclusive for what appears to be on the surface...it actually runs a lot deeper then this. Both parents play a vital role and are like invisible pillars of support in raising their children, be the child a boy or a girl.
without the father being there, who is going to support mum and how are the children going to know that its ok if they, as husbands and fathers, can show affection to their children. children never pick up on that stuff expect from their parents.
lets take another example. how's a male child for example going to know that its important for males to grow a beard if there is no father there with a beard. again, children never pick up on this stuff expect from their parents.
im not trying to mock you or start an argument im just trying to make you see the other side of it.
maybe Allah grant you a good husband and children (if its you that you are talking about)