Religion is man made, and when that is all a person holds in their hands with all the traditions and man made teachings - then no, how can they be willing to die for it? Nonetheless, as we see written upon the pages of history, many have died for their religious beliefs.
However, when a man or woman discovers what the Scriptures speak of as 'the pearl of great price' (Matthew 13) and the value of that 'pearl' is realized, then yes, they will be willing to die for it, because it is treasure that few will find, and worth more than anything that can be found within this life.
I myself can testify of this. I used to be bound within the four walls of the church system, but in 2006 my Creator YHWH began taking a 'bulldozer' to the 'house' I had built for over 30 years. Even though I have much yet to learn, I can say that yes, I would die for what YHWH has given me, because it is something that never can be destroyed, lost or stolen.