What are the odds that the private keys for all of the .gov domains are also sent to the NSA? I guess if you are worried about another nation spying on your traffic you would be fine. I would expect that all of this traffic is decryptable by NSA though.
That said, DHS runs an intrusion prevention system called EINSTEIN, whose mission is to protect all federal civilian computer networks:
https://en.wikipedia.org/wiki/Einstein_(US-CERT_program)
Using EINSTEIN _is_ mandated by OMB, so if you're worried about the U.S. federal government snooping on your communications with the U.S. federal government, I don't know what to tell you.