"I googled & I got some answer that this app uses KDE version 1 . And now question: How can I have 2 different kde-base on my system if I want use this app? I should download kde's 1 source and just 'make install'? Won't it damage my current kde's files?"
There is a difference in the dependency problems between the KDE desktop and KDE applications. The KDE desktop developers and the Qt developers (Trolltech) work very closely togather. As a result you often get into the situation where a version of KDE will work with exactly one version of Qt and not work on either earlier or later releases of Qt. However the problems with mismatched KDE/Qt versions tend to be minor and flaky as long as you are only off by a minor number or so.
KDE applications have to match both the KDE and Qt versions. Usually applications are much more lenient about working on a range of KDE/Qt applications than the KDE desktop is because the application programmers rarely use the latest features being put into Qt by Trolltech. However I do not think that a KDE application written for a major KDE release will work on a different KDE major release, i.e. a KDE application written for KDE 1, 2, or 3 has to run on KDE 1,2, or 3 respectively.
If is a very difficult trick to run two major versions of KDE on the same machine. So trying to run both KDE 1 and 3 at the same time is very difficult.
So I think that the way to straighten out your KDE version numbers problems is to install Qt 3.2.3 to match KDE 3.2.1. Then only install KDE applications that will run on KDE 3.
Also do not try to install a new version of KDE and/or Qt while running on KDE. Use the command line. Part way through a KDE/Qt update you may have the KDE desktop collapse from under you.
Be prepared. Create a LifeBoat CD.