why is it that you don't care for the product? unless you're planning on switching industries, i find it hard to believe someone can be completely disengaged with a product because other products within the same industry would typically have some similarities. also, keep in mind that this perceived indifference toward your work may come across in interviews.
how many YOE do you have? if you're having discussions about work performance on top of your lack of interest, you're probably better off moving sooner than later. however, based on your post, i get the impression that there are larger underlying issues that need to get resolved before moving companies.