The kinetic energies of the two are:
alpha particle: 1/2mv2 = 1/2 (mv) * v
heavy atom: 1/2MV2 = 1/2 (MV) * V
To conserve momentum mv = MV, so v, the speed of the alpha particle afterwards, is larger than V, the speed of the heavy atom, by a factor of M/m. The kinetic energy of the alpha particle is also larger than that of the heavy atom by the same factor.
In other words, the alpha particle takes most of the kinetic energy.