Tiger,
I think that goes against good wiring practice regarding placing the two ungrounded conductors on opposite sides of the phase so the neutral only carries the unbalanced portion of the load as opposed to the full neutral current of both ungrounded conductors.
You would probably be safer and more code compliant, depending on the actual load, if you just used one side of the MWBC to feed all of the receptacles and lighting as one two-wire circuit.
JMHO