Here in Canada, the employment insurance system - a payroll-tax-funded program that handles short-term unemployment benefits - also handles parental leave. They offer 4 months for birth mothers and a an additional 8 months for any parent. The money is tiny - something like half your salary capped to a poverty-level wage, but it's better than nothing and good employers will subsidize it somewhat.
My wife and I split the leave with our 3rd kid. 5 months for her, 7 for me. It's easily some of the happiest days of my life.
There is no reason that private companies should be expected to shoulder this burden. It's practically punishing them for hiring women who want a family. This is the exact kind of case that government exists for.