Although I admire both and have a huge library with a lot of works about them and by both men, I think Weston had much more fun with women, so of course I would like to be more like Weston! In reality, I think some posters hit it right when they said Weston's approach was less "clinical." Both men though, knew their materials well, and knew how to get the most from what equipment they used. Both knew how to burn/dodge in the darkroom. However, given the minimalist approach taken by Weston, that man really knew his stuff. Both had a passion for their art and craft, and both made superb pieces of work. Still, I think Weston's breadth of work is awesome; Adams was the better promoter. Weston had great nudes -- Adams zero. I'd probably rather go drinking with Ansel, though.
It would be presumptuous of me to even think I could work like either man -- but on a good day my approach is more like Weston's than Adams. On a bad day it's more like Gary Winogrand.