The best evidence to support the statement "David Copperfield worries that his vast real-world experiences alienate him from his peers" is:
"But, troubled as I was by my want of boyish skill, and of book-learning too, I was made infinitely more uncomfortable by the consideration that, in what I did know, I was much farther removed from my companions than in what I did not."
This passage highlights David's awareness of being different from his peers and his discomfort regarding the knowledge he possesses, which distances him from the others.