The central idea of the paragraph is the Pilgrims' spiritual legacy. They encountered many hardships and misfortunes on their way to the New World. They were beaten by harsh weather, fought by wild beasts and the Native Americans. All of those temptations were cast on them by God. They risked everything and, with His help, succeeded in founding what they saw as the new Zion. The point of the paragraph is, therefore, the celebration of their great venture, which was to change the world forever.
The most likely reason that the film adaption of "The Most Dangerous Game" changes this scene so that General Zaroff shoots arrows at Rainsford and his companion is to add a visual that creates suspense. The creators of the movie would have wanted the viewers to question what would happen. If they would have tried to portray this scene as in the book it would have been difficult to receive the same reaction as is created by reading the scene.