to do成分剖析

Hosfstadter says our country’s educational system is in the grips of people who “joyfully and militantly proclaim their hostility to intellect and their eagerness to identify with children who show the least intellectual promise”

1、请问各位老师hostility后面的to intellect是后置定语吗？

2、to identify with children……剖析成目的状语或者后置定语都可以吗？

1 to intellect是后置定语。2 to identify with children…为eagerness的后置定语，不是目的状语。