The anxiety is real. Everybody is tightening down, including my employer, who has slowed hiring and started letting go of people who aren't performing. There have been some team layoffs - five people in HR, ten people in customer service, etc. - but we are also still hiring for around a dozen positions. (This is a company with several hundred employees.) No engineers yet, but I can't say for sure I won't eventually be affected. On the other hand, my side of the org is meeting all its targets and works on core tech relied on by all our customers, so layoffs would seem hard to justify.
At the same time, people don't seem to be having much trouble finding new jobs - none of my colleagues who have left (voluntarily or not) seem have had issues in that regard. (Though I don't know everyone who's left, so, I can't speak authoritatively.) For my part, I like my employer and my job pretty well, good pay, good benefits, so I don't plan to make any big changes unless I don't have a choice or something egregious happens.
All that is to say that right now I am not doing anything in particular aside from making sure my income / savings are at the right level and that I have a backstop for any future trouble. I feel the anxiety, but I don't see that there is anything productive I ought to do about it that I am not already doing. I don't think that in an honest assessment I'd have any real trouble finding employment if I lost my job, especially if I had a couple months to look with pay.
Should I feel differently or be acting with more urgency? I'm genuinely not sure. The uncertainty is killer, even if I am in a good position in reality, which is what I suspect.