Richard F. Burton's Pilgrimage to Medina and Mecca (2013)
baumanrarebooks.com
baumanrarebooks.com
I understand the idea of practicing prayer to look like a Muslim. But what is the need to practice going to sleep, eat or sit as a Muslim. Yes there will be a problem with some food (that he would not find anyway in his journey) but muslims do sit, eat and sleep like any other one. They are not aliens from another planet.
Even if they mean cultural ways of life, they are very diverse as muslim world represents the whole world. The pilgrimage is where people understand they are meeting with people from the whole world.
Read Leopold Weiss' book (known as Muhammad Asad), "Road to Mecca", which is a much better memoir. A beautiful tale of self-discovery and bridging cultures and religion