Apart from the master race argument, overpopulation is a problem which the Chinese government controlled reasonably successfully in the not too distant past by limiting the number of permitted births.
I think there's an argument for means testing potential parents anyway- intellectual, emotional and financial ability being three obvious criteria in deciding suitability for being able to rear a child. This would not exclude single parents, religious/cultural backgrounds, nor indeed gay partnerships.
The trouble with the "human right" for anyone physically capable of bearing a child to do so, is that it doesn't take into account the human right for the child to be reared in a caring and stable environment. Nor does it cater for the long-term human right to be able to survive in a community or indeed planet that can sustain the needs of the child and its future genetic heritage.