I hope that center wrong is unbelievably strong to handle the tortional forces that two separate horizontal stabilizers on lengthy lever arms might exhibit in acute turbulence.
That flimsy tail design bothered me as well. Even if the center wing and wing roots are incredibly strong, there's little reason to place them under stresses that could be alleviated with a single-stabilizer tail design, as other commenters have pointed out. The fact that they did not do this suggests this aircraft is designed to launch millions in contributions into the designers' pockets, and not so much rockets into space.