Hi,
The issue is probably a conflict between jquery and mootools on your website, so the fact that our slider doesn't work is a byproduct of another extension (or several of them) loading their javascript stuff and creating the conflict. So no, it's not that our software doesn't work, and you can see that the slider system works fine on our demo website (and for other users of HikaShop).
Unfortunately, as we can't see the rest of the HTML/JS of the page it's not possible to investigate the issue to tell you exactly what to do (it's probably not any code to change in HikaShop).
Would it be possible for you to put the website online, even temporarily, so that we can look at the page ?