Considering how AT&T has allowed various three-letter-agencies access to network "backbone" peering points, I'd say they've already done that. In addition to the other recently revealed spying programs, I'm sure they're aware of the internet's potential.
The big question is whether cryptography can keep protecting everyone. Bruce Schneier has a good breakdown on how crypto is doing a good job, in the short term we can increase our keylengths for protection. (Brute force has lower limits that are now exceeded by longer keys.)
Even if the agencies got a quantum computer going, we could still use symmetric cryptography based on shared secrets, and use 256-bit keys.
Reference: http://www.wired.com/opinion/2013/09/black-budget-what-exactly-are-the-nsas-cryptanalytic-capabilities/