By your standards parenting is a mother’s job by default and is made with the baby’s birth (sometimes before that) .
While society has finally acknowledged that women are more than "baby machines" and are deserving of equal economic opportunity (whether or not they are earning money), it refuses to recognize that men are more than "working machines" and are concomitantly deserving of equal domestic/parenting opportunity (whether or not they are doing much, or as much, child care).
Women can hold important and stressful jobs, and men can render loving and nurturing care to babies, and these tasks can be accomplished before, within, or after marriage, as circumstances permit.
Fathers need and want to parent (not visit) their children, just as mothers do. Children need and want nurturing, not visiting, from both their parents.