Considering the past 2500 years, it would seem yes, Orthodox Judaism will survive, actually survive much longer than any other group of Jewish-ism.
Although the chart below makes it look bad for the Orthodox where only 1 in 10 American Jews are Orthodox:
Based on the report of having grandchildren the numbers look very different.
(This was in 1997 – which has been only multiplied in numbers in the last 20 years).
A story is told, after World War II, when it seem the Jewish people were lost, especially the Orthodox, who were a tiny group of even the dismal Jewish numbers. A religious man came into a religious bookstore and asked for a classic book in steep learning – only someone with a yeshiva background would have asked for such a book. The Jewish merchant was shocked and said he had one left, but couldn’t believe anyone really wanted that type of book anymore. He said to his friend, ‘well that will be the last book sold of its kind.’
The friend, who seem to have more faith than most said to him, “Yes you are right. According to nature, you are surely right.”
Then he went on to say, “But Jews never work according to nature.”
And we are seeing the miracles. The Orthodox are growing strong and in number. Imagine what the numbers would show us today.
it was shown that “. The study reported that 10% of Jews were Orthodox, just 2% higher than a roughly approximate study from 10 years ago.
The new numbers give those findings a different cast.
As a proportion of the community, the Orthodox population more than doubles when you compare the demographic slice of middle-aged Jews with that of Jewish children based on the new data, according to Cohen. “Every year, the Orthodox population has been adding 5,000 Jews,” Cohen said. “The non-Orthodox population has been losing 10,000 Jews.”
The nationwide findings are in line with a 2012 study by UJA-Federation of New York. The study reported that 60% of Jewish children in the New York City area live in Orthodox homes.
Much of the growth appears to have come from the ultra-Orthodox including the Hasidic sectors. Though Pew did not break out age data for that sub-grouping, the survey found that of the 10% of Jews who identified as Orthodox, only 3% said they were Modern Orthodox.”
I think this proves the evidence is in. Yes, Orthodox Judaism will survive. The question is really will Reform, Conservative, and all the other groups that claim to be Jewish but have changed the basics of Orthodoxy, what will happen to them? Will they go the same as the Seduces, the Hellenist and all the other groups that have changed orthodoxy and did not survive?