You seem to be caught in static analysis. You cannot see that reducing property tax and increasing sales tax will affect the decisions of economic participants.
You misread the statement my friend.
If government gets the same amount of money under one tax law as it would under another tax law, that is economically equivalent.
For a given set of conditions if both systems return the equivalent revenues, they will do so in a dynamic sense as well.
By the way, what you are overlooking is the impact of decisions made by economic participants in the choices of investing vs spending. Today we are on the path of disaster where net savings is rapidly headed for a net debt scenario, a bubble economy looking to implode.
It is time to reverse that trend.
The only difference is that a sales tax has destructive consequences at transition due to the necessary increase in money supply.
That is foolishness. Since government takes no more from the money supply under the FairTax, than it would under an equivalent "Flat Tax" or even the income/payroll tax. After all, they all are supposed to be equivalent taxes according, at least to Flat Tax authors, your presumed necessary increase in money supply has no basis. The same money is available for expenditure on goods, services and investment in both cases. No adjustment is necessary.