Mike,
in situations like this, migrate will add a single migration event near the root of the tree, and depending on the composition of the two clades the direction may be clear or not (e.g the mutation model may be important here) thus there could be support for a particular direction. Although I would expect considerable uncertainty about that direction when enough trees were samples, in any case the migration rate should be low.
Whether such an analysis makes sense or not may depend on the original hypothesis, but given that it the ‘best’ tree is monophyletic, migrate may not be that useful to talk about migration; but perhaps the estimation of population sizes (or their differences) may be still of value.
Peter