People ought to practice caution before declaring the Catholic Church near death. There has always been someone to say this from our very inception and yet here we remain. Having assurance from God Himself that the Gates of Hell will never prevail against his Church is a plus, isn't it?
The death of a religion is something that can take a very long time. I have no doubt the Catholic church, as wicked and disturbing as I might find it, will be around a lot longer than me. So, in that way, yes it will survive. It just seems to improbable to me to have its millions on millions of followers realize see how strange and illogical their beliefs are, in a few decades time.
I'm also relatively certain that it's not here for eternity. Either a new religion will one day kick it of it's throne, or it will bleed out into so many different religions that one can no longer speak of 'the Catholic Church' or the society will grow past religions or in the worst case humanity will cease to exist. In the long run, Yahweh will go the way of Anubis, Zeus and the likes.
But I interpret this question as in 'will it survive' the coming decades.
And that, it probably will.
The Catholic church has a long history, and it has many followers that have a life filled with associations with that church. Even if the Catholic church is set back, it will endure because of those people and that history. The Catholic church has survived many obstacles, but it has always endured.
The Catholic Church has been around for over 1000 years and still have strong support. Of course they will have to adapt to the times, so they probably wont survive in the form they are now, but they didn't get to where they are today by not adapting. There are many forward thinking cardinals in the Vatican that are vying for change and there is no reason to think there wont be compromises in order to keep up with changes in culture and science.
The Catholic church will always be around. It's hard for a religion like that to die when it still holds so much power over the lives of millions of people. Reforming the institution may take decades and even centuries, but it does happen eventually. Plus, millions of people are not going to abandon their faith over night.
Of course there will be a Roman Catholic church and hierarchy and some who attend church. However, most of them will be doing their own thing and not paying attention to the supposed teachings. If it has any vitality, it will be because it changes to accept women, gays, and inclusive thinking.
The advance of human knowledge has erased its infrastructure; for example scientific biblical scholarship, other sciences, and philosophy. See Funk et al The Acts of Jesus: no incarnation and no resurrection, and they are the foundation of belief. Compare age of mythology thinking with twenty-first scientific world view. Check out philosophy i.E. The faith and revelation circular argument.
Yes, the Catholic Church is one of the major and most influential and respected religions in the world today but as all religions do they die out. The Egyptian and Roman Religions have already died out and they belonged to ancient empires that spanned the known 'world'. And as human science expands the notion of religion will become fainter and fainter. Sooner or later, humanity will reach among the stars and will most likely find the remains of an ancient 'alien' civilization. Religion itself will soon die out as science and Atheism explain the functions of the Universe. Religion should begin to die out now, it only holds us back.