This is where you lose me. If you're are actively practicing a specific religion then you've done far more than simply think outside the box and keep ideas and options open. Because unless you are practicing ALL religions (which doesn't seem possible, since some religions contradict one another) then you've decided to close certain ideas and options in favor of others.
It may seem that way. However, not every religious person takes a "narrow is the path" mindset to thinking.
To use another analogy, let's say that a person is bored with their life as it is, and feels things are insufficient as they are, sitting on the couch all day eating potato chips. They start going to the gym, and feel it adds to their life. They start lifting weights, but some forms of exercise, they don't incorporate into their routine.
It may seem that they are picking favorites with their exercise regimen, what exercises to do, but really, they're probably doing what appeals to them and what they think suits them best.
Will there be people with stronger legs who practice on a different routine? Sure. But this isn't what it's really about. They do what suits them.
This is how I feel about non-"narrow is the path" religions. (And even Christianity might be doing some people a lot of good too, with some of its more strict teachings, if so many choose to incorporate it - and not just those who become attached to church super early in life.)