Not quite, no. The GPL says that if you use GPL code, everything that you release that uses that GPL code must also be GPL. Thus (BSD + LGPL + GPL) -> GPL when it's distributed. BSD must be sublicensed, and LGPL must have it's GPL license conversion excercised. You no longer have the full BSD rights in the distributed code anymore, if you download it all as a whole.
Perhaps I've misunderstood something, but I for instance publish my sources under BSDL (and other liberal licenses) because it is not as viral as the GPL. Therefore I would surely not agree that someone is allowed to "sublicense" code which I intentionally published under BSDL to give the licensee as much freedom as possible. Actually, since the GPL is too restrictive (i.e. "viral") it violates rights the author granted to the users of his BSDLed code.
Can you enlighten me what makes you think that BSDLed code can be "sublicensed", please!
Best regards,
Oliver