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 \
linux-headers-2.6.15-23-server
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.