As I can tell, this is not limited to I&A only. It's happened on different map types as well. Definitely a real pain and makes conducting overwatch almost impossible. Sniping and lasing of targets is non-functional as a result. There doesn't seem to be any time correlations nor game mechanic correlations. The shake is similar to what a player experiences when on a DayZ style server and the character is in pain. Or as if there's constant feedback from a distant arty impact.
BI please investigate this issue and respond. Gotta love game updates...