A strange star is still matter so that matter would just fall into the black hole as any other matter would. Tidal forces prior to the merger could result in some of the stranglet material being spewed out into space. AFAIK strange stars are an unconfirmed theory at present and the 'super stable' nature of strange matter, I'm unsure of what would happen. It'd be interesting to know this for sure.

For anyone interested in what this 'Strange matter' is see https://en.wikipedia.org/wiki/Strange_matter