If there is no free will and we still judge, we cannot not judge!
All there needed to be was for the handful of initial variables that were set at the "beginning of our universe" to have such values that their interaction over time would lead us to rational thinking and therefor our understanding that there is no "free" will.
Simply put: If I explain to you why free will is an illusion and you stop judging, then it wasn't a "free" will. It was a cause-and-effect situation.
If there is no free will and I stop judging, then yes, obviously we can stop judging.
But if there is no free will and after your explanation I still judge, then no, we cannot.
My explanation would be only 1 variable in your system (out of an infinity of others, if you assume that you can always continue to "zoom in").
Now, if that 1 variable does anything to your decisions or not depends on all the other variables as well, i.e.: You may have gotten a very religious education which may lead you to accept beliefs put forth by other as "the truth", without questioning. Since one major point of religion is "free will", I'm not sure "my explanation" would do anything to your decision making.
On top of that, how would choice make more sense in a random universe?