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Reminds me a lot of the old 'you are god' flash games over on Newgrounds, nice concept though!
As others have mentioned, the lag is a bit of an issue here, though a couple of things you might want to look into are the Job / Entity Component System, or, using a shader to simulate the breaking of the mesh, processing this on the GPU will really smooth out the destruction! 

Thiago always loved God Games (Populous, Spore, Dungeon Keeper...), and I love destruction in games. I'm aware of the Job/Entity Component System but I have never used it before, but will look into implementing. We are not very well-versed on shaders but we would love to know how to do this, do you have any links to start us off ?

Thanks in advance,

SirKnight Games
(Abraão & Thiago)