Welcome to the boards!
The area known as Little Italy has changed drastically in the 35+ years since "The Godfather" was filmed there. While a lot of the tenement buildings remain, they have changed in appearance somewhat, but the major change, as you had stated, is the influx of Asians overtaking the old Italian area.
It's a little hard to tell from the two photos since the picture on the right is kind of "smooshed" (it's not the same width as the first picture), BUT it does look like the exact same block.
BTW - You posted in the correct forum.