It took forever, but this ended up working to get Asterisk to compile:

apt-get install libssl-dev libncurses5-dev libspeex-dev \
  sox sox-dev build-essential manpages-dev libasound2-dev ssh \

Fuck Fedora.

I’m having trouble getting the required MySQL Perl mods installed so I can use MySQL with Asterisk… but I guess I’ll figure it out sooner or later.