Since I posted, some people have experimented with commenting or ifdef-ing out parts of the Facebook SDK. The problem is how far to pursue the transitive closure of your edits.
Here is a link to a minimal set of diffs that worked for me. That is, the executable had no AdSupport or ASIdentifierManager references.
https://github.com/snorrsi/facebook-ios-sdk/commit/9d69d9ab0e510359311085def696c750c345037a
Topic:
App Store Distribution & Marketing
SubTopic:
General
Tags: