The most secure method of transmitting a message is a one-time pad. There is no way to analyze or decrypt it without its mated random pad. However, for internet traffic, this is horribly impractical. So you use alternate methods with some tradeoffs to achieve security that is practically impossible to attack.
The only benefit to alternate infrastructure is to work around government-imposed sanctions on traditional internet services, such as Iran, Egypt and other countries shutting off internet access. Project Byzantium is one way to work around this.
How about using our technological leverage to educate about the issue instead of waging a war against an enemy that should'nt be one ?
Also, what active adversary are you implying would defeat the one-time pad? Lead pipe cryptography? That pretty much works for everything.
One-time pads (and all symmetric crypto) can never be user friendly - every pair of parties looking to communicate has to meet in person and exchange keys. Pop references to OTPs create false intuitions that real encryption takes significant work to exchange large eys, only secures preexisting links, and is only ever done by those with super serious secrets (spies, children in treehouses, spies, etc).
Give me a cryptosystem, and i'll give you a reason nobody should ever use it.