From what I observed (and learned from others), state sanctioned discrimination against Soviet Jews did not exist at the time of the last wave (say, 1989 onwards). Don't have an axe to grind as I came around that time to the US as a Jewish refugee myself.

PS: To put the OP in context (not to condone the practice in any way), the discrimination was directed not just against the Jews, but more generally against any graduates of a select few top specialized physics/math schools (most had over 50% Jewish students). From what I understand, the driving factors behind the discrimination were along the lines of: These schools at the time (70s through mid-80s) were viewed as disloyal; their graduates likely to emigrate to Israel/US post-graduation, overrepresented at top programs etc.