That being said, I quickly googled the average rent in Berkley and it's around 4k$.
The salary difference (ignoring 9 vs 12 month) seems to be around 50k which is over 4k/month...which should be enough to cover average housing all else being equal. And that assumes no rent for the German counterpart :P
Also depends a bit where you are in Germany. I think in Munich (most expensive) the buying price is around 10k€/square meter and Berkley city from quick googling seems to be around 12,5k$. Not sure around rent prices but I'm assuming they scale to buying prices.
I found the part about health insurance interesting as well. I would probably never willingly under-insure if I had that option (I do not).