Worse than something that was, but only in a technological sense.
Surveillance today is more invasive, and pervasive. This is a direct result of technological advancement. So, unless you're talking strictly in those terms, then how the underlying surveillance capability is used must be taken into account.
For example, the United States probably has the most advanced surveillance capability of any nation on Earth. Certainly, this capability has the potential for abuse. In fact, I'm sure it is abused, and that's bad. However, the underlying use is more or less in line with other Western governments.
Contrast this with say, any hardcore authoritarian regime today using comparable technology, and it's a completely different magnitude of bad.
So, I wouldn't say the U.S. is worse than the former Soviet Union in terms of surveillance, at least not in any moral sense.