Yessss! This is awesome news. I can't wait to eat at your restaurant!
As far as the name, Mario Batali's Eataly on 24th & 5th ave already has an all-vegetable part called Le Verdure. http://eatalyny.com/eat/le-verdure
Also, I know nothing of italian but this is interesting:
Is there a difference between "la verdura" and "l'ortaggio"?http://forum.wordreference.com/showthread.php?t=140743
I believe verdura comes from verde and can be thought of as green vegetables (my mom uses it in reference to lettuce, endire, kale, chicory, etc.) Ortaggio comes from orto (garden) and refers more broadly to vegetables that are cultivated for eating. But in everyday spoken Italian, the distinction may not be this precise, and in English, you're probably fine translating both as vegetables, as fran06 suggested.
So I'd say it is a good thing that ortaggio refers to more than just green veggies.