  We show that the solution of the free-boundary incompressible ideal
magnetohydrodynamic (MHD) equations with surface tension converges to that of
the free-boundary incompressible ideal MHD equations without surface tension
given the Rayleigh-Taylor sign condition holds true initially. This result is a
continuation of the authors' previous works [17,32,16]. Our proof is based on
the combination of the techniques developed in our previous works [17,32,16],
Alinhac good unknowns, and a crucial anti-symmetric structure on the boundary.
