Doesn't your belief that others can come to the Father apart from Christ say that you do not believe Jesus? What about the pre-NT Jews? They fall into "no man comes unto the Father but through Me", but not into the "faith in Jesus Christ" camp. So, no, that verse (in itself) does not exclude the much debated pygmies in africa... IF any of them come to the Father (perhaps by the result of the "law that is written on their hearts"), this verse says it would STILL be because of Jesus.
What about the pre-NT Jews? They believed in Jesus. Moses knew Jesus as well as King David. They were not unaware of who Jesus was. But lets play your game for the time being. We have Jesus now. Are you saying a pygmie who has never heard of or encountered Jesus can still be saved?
JM