May be a crazy idea, but ...
Someone said that binary packages of KDE3-Trinity (Slackware 12.2 .tgz) can work on Slackware 13.x ... it is true!
then I've taken from 12.2:
qt-3.3.8b-i486-2.tgz dbus-qt3-0.70-i486-2.tgz fontconfig-2.6.0-i486-2.tgz freetype-2.3.7-i486-1.tgz
and, of course, all kde-i18n*
run startx ... It works great! ... I would say: Slackware!
Note: the freetype package is the unique critical element, if not downgraded freeze X (and all system).
Other little things:
missing start menu:
replace /etc/kde/* with menus in /etc/kde/* of 12.2 create a symbolic link in /etc/xdg: menus -> /etc/kde/xdg/menus
perhaps it is too early to tell, but the system Slackware-13.1 <-> Trinity-KDE3.5.12 is very stable, I feel ... I seem to be on Slackware!
Many thanks to Timothy Pearson and KDE3-Trinity developers!