Biology requires 2 people to create a child.
fair enough, but what if the father is not in a picture out of his own will? What about situations like that? Some people forget to mention that some fathers not only walk away but also don't pay child support, so I am not sure what you are trying to say here.
Parents are responsible for teaching their child EVERYTHING
I disagree. It depends on the quality of parenting, and if both parents contribute, you have a case, if one of the parent does not (either sex) then you don't have a case. It depends on the situation and in the ideal world, both parent are nice, responsible, not stressed out, always have a good job, love each other etc. :)
the increasing delegation of parental responsibilities to schools and the increasing censorship of discipline in schools is not good for children and not good for society.
There is a crisis of a family unit as we used to know it in the past and single parents (most of the time) are trying to do the job right. You forgot to mention that the family unit is going through a transition and sometimes even the single parent family has a small community of friends who are replacing the father figure, or an aunt, or another member of the family.
I know a couple of families where the father was not fit and did not contribute (alcoholic) and after he passed away, the family - children did just fine, considering the situation. Another family I know lost their father at the early age and they are still very successful mainly because they had more challenge when they were younger.