this is incorrect.Geva@MasterGMAT wrote:I will share my bread with you (meaning I will give you some of my bread). this is the equivalent of answer choice B. Share...with carries the meaning of sharing what you have with someone else , not that the two of you share the same thing together. Again, grammatically correct, just the wrong meaning: it's not that the southerners share their heritage with the northerners (i.e "give" them some of their heritage, like sharing bread), but rather that the two groups share the same heritage.
for almost a million counterexamples, type "share a * heritage with" into google (including the quote marks / inverted commas, and the asterisk), and watch what comes out.
the correct explanation is given in my post above, again with the caveat that gmat aspirants don't actually have to care about it. but, yeah