@mtiffany
That’s certainly strange; I just downloaded the JSS Installer for Linux to check, and mine, once unzipped, shows the following:

The zip file should provide documentation as well as the .run file that you'll need to transfer to your Linux server and run.
The file you’re describing, the JSSDatabaseUtil.jar comes with the JSS Manual Installation zip for the JSS for customers who prefer not to use the installer and prefer to just replace the ROOT.war file manually, so it sounds like you may have downloaded the JSS Manual Installation by mistake instead of the JSS Linux Installer.
If the file you downloaded is called JSSInstallation9.96.zip, it’s the set of files for the manual installation.
If you’re looking for the JSS Linux Installer version, the file will be called JSSInstallerLinux9.96.zip.
I double checked again, and that is the file I get when I click the Download button directly below JSS Installer for Linux.
If you're certain you're downloading that file and are still not getting the correct .zip, please get in touch with your TAM to have them dig into it a bit further.
Thanks!
Amanda Wulff
JAMF Support