Hi Mana,
this isn't related. Bonding interaction "adds" (this is simplified) the atomic orbitals while antibonding subtracts them. It doesn't need a magnetic quantum number.
And in case you had a doubt: the energy of chemical bonds does not result from magnetic attraction and repulsion. Not from the orbital magnetic moment, not from the electrons' intrinsic magnetic moment. These interactions are much fainter than chemical bonds.
The relative spin orientation of electrons does matter a lot, but this results from their fermion nature that lets two electrons share an otherwise identical state only with antiparallel spin, and puts also more conditions on populated different orbitals. You can figure that as a mathematical condition, not as an interaction energy.
Also, you can compute (by software) energies of molecular orbitals even with a single electron like in H2+ and find bonding and antibonding orbitals.