coreutils 7.4 build: previous declaration of '__u32' was here

[Poor Yorick]

Building coreutils to install in an alternate location which has its own libcap 
and glibc (self-compiled):

      CC     ls.o
    In file included from ls.c:43:

    /path/to/include/sys/capability.h:34: error: redefinition of typedef
    '__u32'

    /path/to/glibc/include/asm-generic/int-ll64.h:24: note: previous
    declaration of '__u32' was here

Any suggestions on the root cause or workaround for this?

-- 
Nathan