Wow.
A mass X-odus( I hadda do it!) would freak out the Wakandans who are xenophobes under the BEST of circumstances. The fact that the Mutants as a group probably outpower them would make them freak out all the harder.
Even if B.P. and Ororo placed the Mutants in one of the border contries that they control like Niganda-Civil War would still be the result.
The crazed nationalists and the crazed separatists would finally have something to agree on.
So the X-Men would be in a position where they are helping to defend the king and Queen against large factions of thier own people
And not all the mutants living under the X-Men's protection are good guys. There's a good chance that they'd only fight for whoever paid them the most. Which could very well be Osborne.
And those are just the non-ambitious evil mutants(like Sabertooth). The ambitious ones like Magneto would attempt to take over Wakanda outright.
It'd be CHAOS.
But really entertaining.

That said I could see a team of X-iles ending up in Wakanda. Havok, Polaris and Marvel Girl will need somewhere to go after they return to earth(and it looks like the Professor is wearing out his wecome in Utopia).