I have no doubts about the fact that the Dollar will win from the Bitcoin because the bitcoin is still too small and the Dollar is way to big to get defeated.
What people also are saying is true the bitcoin is a sort of depending on it.
We can say that although it is getting some problems now due to Saudi Arabia stopped the mining of oil. We know US is invested in there and I thing they got a lot of shares from those company. This is also one reason why oil price is going up. With the lost of this investment they could easily lose some value in their currency also.
The Saudi's slowing their oil production isn't necessarily a bad thing in general, and the USD is unlikely to suffer from a OPEC slowdown of production. It is more than likely that a majority of the people invested in SA are private individuals or investment firms, and not some giant government body. The USD is unlikely to suffer from anything happening in the Middle East related to oil production.