It's a common trait of most religions that they indoctrinate children who are too young to know better, discourage scientific education, censor and forbid certain books, and generally discourage or outright condemn you for asking difficult questions about your religion. Faith, which is not knowledge in any sense of the word, but is belief without evidence and often belief in the face of opposing evidence, is hailed as among the highest of human virtues.
So I want to ask you theists this question, don't you find that a little strange? Why would God fear your curiosity? If God exists, shouldn't your thirst for knowledge simply discover more and more evidence and confirm your belief? Why would God discourage that?
Your argument and the term you use "common trait" could benefit from evidence to support it. But let's not worry ourselves about evidence for now. Assuming you are correct, my guess is that if you are trying to teach someone something (ANYTHING), you have two ways of approaching it. Either ignore the other side or engage in it. As a kid, I don't recall my public school teaching me about both sides to every topic - it is not a common approach in most elementary public schools. From a development standpoint, (just my opinion) I really doubt teaching children a this-side-versus-that-side is an effective way of teaching until they have a more developed mind. Showing both sides is done more frequently in high school and university settings where the intellect really starts to develop and grow.
As a Catholic, I will definately teach my kids certain things the Church usually does not, i.e. arguments supporting athiesm as discussed in this forum. I plan to bring up the topic that some people don't believe in God. They will ask why, and I will present the arguments I've seen here. I will then add in my own opinion and theories, and let them decide. If they come to the same conclusions I have, then I know they will be Catholics for life (I hope, anyway). I have a few years to develop exactly HOW I will do this, but I believe it is important in case questions come up during their life, and they will know the Catholic responses.
As far as God fearing curiosity, I can only comment on the Catholic side. And I can respond by saying that curiosity is not ever knocked or discouraged - in school or in Church. Our kids ask great questions all the time, as kids do, and I tell them to keep asking. As a veteran of Catholic education (10 years worth) I never, ever was told "Don't be curious" or heard "It would be wise NOT to ask that question". Indeed, the Catholic Church more or less developed the modern / western university system to encourage wide spread education and scientific learning. Some fun facts:
-The earliest universities were developed under the aegis of the Latin Church, usually from cathedral schools or by papal bull as studia generalia (n.b. The development of cathedral schools into universities actually appears to be quite rare, with the University of Paris being an exception — see Leff, Paris and Oxford Universities) (source: wikipedia)
-The Church, according to historian Lowrie Daly, "was the only institution in Europe that showed consistent interest in the preservation and cultivation of knowledge".
-Pope Innocent IV (1243–54) described the universities as "rivers of science which water and make fertile the soil of the universal Church"
-According to author Thomas E. Woods, "among the most important medieval contributions to modern science was the essentially free inquiry of the university system, where scholars could debate and discuss propositions, and in which the utility of human reason was taken for granted."
-35 craters on the moon are named after Jesuit scientists.
-Cassini (well known Italian Rennasissance era astronomer) was a student of Fr. Riccioli and Fr. Francesco Grimaldi, astronomers who also discovered the diffraction of light, and even gave the phenomenon its name.
-Catholic cathedrals in Bologna, Florence, Paris, and Rome were constructed to function as solar observatories.
-Seismology, the study of earthquakes, has been so dominated by Jesuits that it has become known as "the Jesuit science."
-List of 50 Jesuit scientists http://en.wikipedia.org/wiki/List_of_Jesuit_scientists
-Accroding to the NCEA, there are 6,841 Catholic schools (non-university): 5,636 elementary; 1,205 secondary.
-Total Catholic school student enrollment for the current academic year (2011-2012) is 2,031,455.
So when you posit, "It's a common trait of most religions that they indoctrinate children who are too young to know better, discourage scientific education, censor and forbid certain books, and generally discourage or outright condemn you for asking difficult questions about your religion." I can ask you, what makes you say that and what evidence do you have? I never experienced this, I have never seen this, and don't understand on what grounds you are asking this question. If you say "most religions" then you will need to provide us a list of which religions you are referring to as well as provide evidence from "most religions" to support your claim.
When you ask, "If God exists, shouldn't your thirst for knowledge simply discover more and more evidence and confirm your belief?" Finding out more about science, for example, does not provide evidence that God exists in and of itself. Knowing about photosynthesis for instance (BTW, first researched & developed by Jan Baptist van Helmont, a devout Catholic) does not show to anyone that there is a God all by itself. It does offer the possibility that if God does exists (and we believe hs does), this is how He gives living organisms air to breathe and live - and so on.
The only people who would discourage curiosity would be people who act on their own, without any regard to reality or authority.