kdar is just a GUI interface to the command-line utility dar, which can be called non-interactively. There are many backup alternatives, but if you're already using dar archives, that's one reason to carry on.
You could easily automate production of dar archives, although it would men finding out how to call it from the command-line, and putting that command (with perhaps a little extra stuff) into a script, and calling it from cron, or similar.
In fact, kdar is able to generate the dar command for you, from
this dialog (the "export dar command button).
If you don't want to muck about with dar archives any more, there are plenty of other solutions. I rather like dar archives. They add quite a lot of nice functionality missing from tarballs.