I want to uninstall this program and to use CyberLink YouCam instead. If I remove it, will I also lose my webcam driver?
No, the webcam driver can be uninstalled only from Device Manager. You can safely uninstall Video Web Camera using its uninstaller from the installation directory or Add or Remove Programs feature (Control Panel > Uninstall a program). After that, you can download and install CyberLink YouCam without any problem.