Yes, Bitcoin solves BGP (in some way)...
There is no Sybil attack possible on the problem as stated. "A majority of CPU power" is a physical quantity which can't be Sybil attacked. Period.
True, but there are other "attacks". Such as calling up Chinese miners and convince them to do a certain thing.
Incorrect again.
BGP is not solved if there is Sybil attack vulnerability. The following is not "other attack" but rather it is a Byzantine fault (because the loyal participants can't be certain of Consistency by keeping the control of the hashrate below 51%). Since you have no way to know which pools are controlled by the same entity and thus which pools have the lowest VERIFICATION costs per block reward (which is very important once you scale Bitcoin to Visa scale), then you have no way to know where to send your PoW shares so as to prevent that Sybil attacker from leeching off of the other pools and driving them bankrupt thus centralizing all pools under one control but hidden by a Sybil attack. In other words, the system is GUARANTEED to become 51% attacked due to the economics and the fact that control can be hidden behind a Sybil attack.
I wrote that already upthread and you just don't read apparently.