
New data address precisely this question in a recent article by Joshua May (Assistant Professor in UAB's Department of Philosophy), which was selected as "Editor's Choice" for the issue published in the Journal of Medical Ethics. The study indicates that — contrary to some speculation among bioethicists — people do not primarily feel that human cloning is disgusting or repugnant. Instead, the dominant emotional reactions are of anxiety and interest.
You can read the published version, the penultimate draft, or a summary of it in a blog post on the journal's website.