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My assumption on this would be No, they don't stack.
What would happen when you cast a shout (assuming Blizz holds to their patterns) is you gain a buff called "Inspiring Presence". That buff regenerates 1% health per sec. So casting the same shout again would simply refresh the buff. And I highly doubt using a different shout would apply a new instance of "Inspiring Presence". Rather, I'd assume anytime you shout, you get "Inspiring Presence" buff, and if you already have it on you, it just refreshes.
Speculation? Yes. But I think that's how it's going to be, because Blizz typically states when things have the possibility of stacking with themselves.
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