The lottery system is no gamble, and with it also means creating a uniform receipt standard, which further simplifies our current system as well. My taiwanese relatives keep every single receipt, and they even ask for my receipts when I go back to visit. At the very least it'll have some sort of positive impact because both the Taiwanese and American economies have a number of similarities, one of which is that both economies have a huge percentage of small business owners, and they are the ones most likely to benefit from tax evasion in the case of a single-rate federal retail sales tax such as the one proposed by FairTax. However, a lottery system would force consumers to demand receipts from these small business owners thus preventing them from doing sales off the books.
Also, the grand prize for the lottery is 10M NTD (New Taiwan Dollar), which is ~$337,781 USD, and overall they might pay around $1-2M USD which is a fraction of any estimated potential losses in tax revenue if such a lottery receipt system was not put into effect.
Also, our current tax-system is most definitely not holding our economy together, it's pulling it apart. Implementing it into our current tax system might also work too. At the very least, I hope it'll teach Americans to keep their receipts which is a huge improvement in itself.