Except that you can't control the amount of inflation by setting "the" interest rate. You can try to affect inflation with interest rates, but you can't control it.
Inflation is too much currency chasing too few goods. Interest rates paid by banks aren't the only currency supply drivers. Velocity matters, and so does govt spending, among other things.
You do realize that Bernanke's briefing explains alternate mechanisms for accomplishing the same goal without the drawbacks of the current system, right?
And you do realize that one of those drawbacks is that if banks are currently keeping a much higher level of reserves than the minimum, one of the dangers is that they might start opening the lending spouts and spur inflation, right?