[I expect this dialog is going to end up as "Agree to disagree".]
actually no... since a population growth model is not a question of opinion, but of facts. The countries not having been able to curtail population growth (for "political or religious" reasons) are few and even in deeply christian countries birth control is practiced. Where there is a lack of access to contraception, there are many unsafe illegal abortions, often resulting in death or permanent injury to the mother.
To understand population growth you'll need two basic concepts: fertility rate in conjunction with death rate and secondly the population pyramid (age distribution). Most of the countries with the highest growth rates today have sizable populations in childbearing age (up to 2/3 of pop). But they have quite low to medium fertility rates (around 2 per woman). This means that they grow towards a population equilibrium and the only reason they grow as fast is that there are fewer old people to die from old age than there are babies born (because atm there are fewer old people than fertile people and old people live increasingly longer). In 20-30 years they will reach a state of population equilibrium or even begin to shrink (when the two child/family model becomes the traditional model, while at the same time some people don't procreate). This is known as "the great fillup" (please google it if I failed to explain it sufficiently).
Serious simulations predict a probable global target population of 10 billion after which it will begin to slowly decline. Current global agricultural output can sustain 12 billion people (healthy, low-meat, low-dairy diet, no biofuels). Nevertheless agricultural specialists (I can recommend Jonathan Foley on that topic) predict a demand increase of 50% by 2050 which they think they CAN actually handle (theoretically allowing to feed 18 billion people a healthy diet). This would be possbile through closing yield gaps. Especcially in Africa the abolishment of adverse trade policies (like export subsidies in EU and US), sustainable irrigation infrastructure (not the saudi way), agricultural education and the application of no waste agriculture could produce enormous yields (making even a far more populous Afrika a net food exporter easily).
Growth is not an issue any more and surely not the big threat it seemed to be just 20 years ago (the world actively handled that problem quite well). Today hunger is merely a symptom of bad management of income distribution (there are people threatened by hunger even in the US). But it is still a convenient way to scare the uneducated masses into voting right wing fearmongers. Thats where ideas like killing illegal immigrants at the border instead of reducing global inequality come from. Despicable and unworthy of anyone claiming to be a human being.
Wholly another question is what will happen if the existing 3-4 billion living in emergent countries decide they want to live like the west. But that has nothing to do at all with population growth, since they all already live today and won't grow that much (as i have explained).