Medvedev also weighed in on the issue Wednesday, saying the base closure shouldn't hamper anti-terrorism operations, according to Interfax.

CNN: Post-Soviet nations to form military force

But while Paul stopped the Senate's work cold to express his displeasure, the GOP isn't standing as one over anti-terrorism tactics.

CNN: Five questions: Targeting Americans on U.S. soil

Former Director of Public Prosecutions Lord Macdonald, a Liberal Democrat peer who oversaw the government's wider review of terrorism legislation, said the T-Pims, as they are known, were "an improvement on what went before".

BBC: Terrorism Prevention Bill part one