Most people believe vouchers would benefit some students, but they also see possible drawbacks.
Statistics are a tricky business in any endeavor, and survey analysis is no exception.
The real answer is that at this point the public is far from ready or equipped to make conjectures about the future impact of a hypothetical proposal to which people have given little thought. Perhaps the most telling way to measure whether people are truly attracted to a program is to ask them directly if they'd like to see it in their own backyard.