I am a big biaxin supporter but if you throw toxoplasmosis into your mix then you are on the best combo possible for that and babesia. Clindamycin works well for babesia, malaria and toxoplasmosis. Mepron(atovaquone) also works well for babs and toxoplasmosis. Plaquenil is a good antimalarial and is supposedly used to lower cellular ph to allow for better abx penetration(again, that is a theory, i don't think anyone has proven it)
If you do have lyme on top of the other two infections then the zithromax might not be enough.
Another possible good mix could be biaxin, clindamycin, mepron and bactrim. However, you would really have to keep an eye on the liver with that combo. I have always felt that babesia treatment is more complete when bactrim is added to the mepron and macrolide antibiotic mix. But i feel the mix you are doing should work fine but do not stop until 2 months or more after symptom free.
The main thing to watch with clindamycin is that it has a well known connection with c-diff infections that usually start in the lower GI or colon. Do not miss a single day of acidophilus.