Fundamentally, you'll have a choice, do you get active in these meta issues in the wider SE community, or do you just hold yourself to just CR and it's smaller community, or do you back away completely.
(Note, that decision is completely independent of how you feel about the CoC changes and the LGBTQ+ issues, and so on ... it's a case of how much exposure you want).
If you deal with meta issues, you're going to be immersed in the craziness for a while.
If you keep yourself to Code Review, there will be very little impact, with the occasional "spat" as someone (probably not a regular) makes a scene, one way or the other.
If you back away completely, well, you get none of it.
I suspect that the Code Review community is going to be minimally impacted by the CoC change. We all typically follow the be-nice policy anyway, and we're a great place to be.
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So, for those who are on SE mostly for Code Review, I recommend you just keep on doing business as usual.
As a moderator, you don't get to make that choice as easily. You don't have the option of avoiding these conflicts.
So, my resignation is mostly for that reason.... but that's not really going to impact my Code Review activity.... I am happy to be in that second group .... step away from the meta crap, avoid any conflicts related to the craziness, and stay in the nice Code Review bubble.
In the past few weeks, there has only been once incident related to the meta issues that's appeared on the main site at all, and that was discussions about the meta events in comments on the main site. Those comments were cleared out, and moved on.
Anyway, my expectation is that the most significant impact in Code Review of the turmoil is going to be found in this chat room.... so, someone is going to have to decide whether this room considers the more meta SE issues to be "General discussion about codereview.stackexchange.com - Welcome to The 2nd Monitor! codereview.meta.stackexchange.com/questions/5967/… - Site Business always comes first"
It's in this room that I anticipate the discussions where emotions get high, where disruptive users can come to get a rise out of others (trolls), and where they'll get the most immediate feedback (instant gratification).