What incentive does the reviewer have to do this type of quality review? What compensation would they get for doing it? Reviewers are typically other scholars in the field who review papers anonymously, without compensation, out of a sense of this being part of their professional role (and, more selfishly, the chance to nudge other people's research in their preferred direction). Checking for fraud is a long, boring, thankless task and I don't think current reviewers would be in a hurry to take it on themselves.
Of course what this implies that a change to the journal peer review model is necessary - presumably journals will have to pay someone to check for fraud, in additional to the content review which peer reviewers do. Journals won't be in a hurry to pay this extra expense. As we see right now with the issue of open access, it's quite difficult to get journals to change their policies, and equally difficult to get authors to move to journals with better policies. In theory all these issues can be addressed when it comes to fraud, but it won't be easy.