If I did, I’d get to see the stars from the Southern Hemisphere. The Astronomy Picture of the Day site had a photo last week demonstrating just that:

On the left the outlines show Orion seen from a beach off Tasmania, and on the right you can see it in the Northern Hemisphere, from the Alborz Mountains in Iran. (See more details and a bigger picture on the APOD site.)

That’s just very cool. My sister-in-law is going to South Africa in the spring and I am jealous!