That would likely be turned down because voters know that introducing a sales tax will not reduce income tax or property tax.
The HST here in this province is wonderful. Take the case of building a house. An entity buys a piece of property, they pay HST on it. They buy materials and pay HST. They hire subcontractors and various services and pay HST on those. And they sell the house - and charge HST. Now, that entity gets to remove the HST for all their expenses from the HST they collected during the house sale, to recover what they have spent. However, in the meantime, all those expenses have added up during the construction phase and increased the base cost of every next step, since everybody at every step of the way needs to cover their own expenses, at the time they are incurred, which includes paying HST for everything they buy or every service they need to pay.
It is naive to think such a tax will not raise the actual end price of everything.
It certainly made a positive difference to our service based business - being able to get all of the GST we paid back right away from our clients, and only having to remit the net amount once each quarter.
And yes, long term projects that only result in income at the end do create cash flow issues but in construction, at least the federal sales tax was no longer influencing some of the costs.