I honestly don't see what's wrong with the default bridge. The only thing I can think of is that it's cables are angled oddly.
I think this is a good build, but doubt it'll surpass the Golden Gate Bridge as a build. And this isn't due to the lack of skill on your part, it's just the the Golden Gate Bridge is way more architecturally interesting to look at then the bridge you have chosen. A Bridge which I would have chosen (To overcome the GGB as a better build) would be the Brooklyn Bridge; way more interesting to build and look at then the Verrazano Bridge.
With all that said, I hope you finish; because it looks lovely.