I think just the opposite. Instead of teaching that Judaism is not a narrow path we should be teaching the beauty of the path that is Judaism. How much emphasis do Yeshivos place on teaching about how we are the am hanivchar and what the means for each individual? How often do we teach about the importance of dveikus? Do you remember your Rebbeim teaching you about Hashem in a personal, real way?
Feif un: You mention that your parents already approved of the books you were reading that your Yeshivah did not.
MANY MANY parents present their children with mixed messages. “That’s for when you’re in yeshivah”. “Yeshivah says its bad but really its OK”. These things undermine the credibility of the Yeshivah in the child’s eyes and also serve to weaken the child’s stance on things related to yiddishkeit- ‘if my parents said this is ok even though the yeshivah doesn’t maybe that is also not really bad’. How many children come home from Yeshivah where they are taught that TV is bad only to come home and put their feet up on the couch as they enjoy their favorite shows.
In summary: Yeshivos need to make real relationships with Hashem and the beauty of yiddishkeit a priority in yeshivah.
Parents need to provide their children with stable and consistent hashkafic values.