You claim that population is not the problem, but you refer only to global population. However swift population growth is confined to certain well defined areas of the world. Consequently it is initially not a global problem but a local one, and becomes global only insofar as international migrations or supply chains are triggered. Currently there are 10 million refugees in the world who fled from countries where less than one quarter of women of child-bearing age use birth control, namely from Rwanda, Somalia, Syria , South Sudan, Eritrea, Mali, Sudan, Zaire, Burundi, Nigeria, Central African Republic, Afghanistan and Pakistan. Many of those countries have undergone huge population growth. Syria's population grew six-fold between 1950 and 2010.
As a result of these refugee flows, those countries' population growth has contributed to the political destabilization of Europe by fostering right-wing populist movements.
Consequently your claim that population is not the problem is obviously false.