The solution was to find a WDM DRIVER for UCC4 card and NOT TO USE the driver recognized by Windows or a supplier's CD. Maybe this sounds ridiculous, but once you install the driver provided with Windows or the card manufacturer, it may be very hard or impossible to uninstall it (in my case I had to do a system restore in order to be able to uninstall it, although maybe the Safe Mode could be used to uninstall it, too).
So, get the WDM driver (links below) and read the documentation before you install it, to make sure that's what you need. Once you install it, you can test it with VLC (you'll be able to find it in DirectShow tab in the Video devices list, after clicking the refresh button).
Since my card was based on BT878A chipset (look on you card, find a single chip in the middle and read the text on it), I've found this WDM driver for it:
WDM Drivers page:
http://btwincap.sourceforge.net/download.html
Driver installer:
http://prdownloads.sourceforge.net/btwi ... p?download
Driver's FAQ:
http://btwincap.sourceforge.net/faq.html
IMPORTANT: You may need to turn off OVERLAY display in any software you are using to view you cameras.
To use the card in the VLC, simply go to File - Open Captuer Device, then go to DirectShow tab, click the "Refresh list" button near "Video device name" listbox, and then choose your device (in my case "Conexant's BtPCI capture"), then click on the "Advanced options" button to select which of 4 cameras you wan't to feed the input, and that is done by choosing values 0-3 in the "Video input pin" field.
That's it. Now you've successfuly configured your UCC4 CCTV card to be your video input
Thanks again for trying to help, I appriciated it.
P.S.
if this driver doesn't work for you, you can try this one:
http://www.iulabs.com/drv/index.shtml