Wouldn't you know, that post ended up experiencing the Reddit effect, and more comments came pouring in. I tried to contact Disqus, but all I got was a ticket number. Meanwhile, the Reddit users had already started having a field day with, "Steve censors his readers and and deletes comments! We don't like his blog anymore."
Disqus was very slow and unhelpful in resolving the bug, even as I frantically updated the ticket with more and more debugging info and speculation as to what the problem could possibly be. In fact, to this day they've still never fixed the bug or closed out the ticket. Technically, they closed the tickets, but never resolved them (I guess that means, "we got this guy to stop bugging us about this issue... CASE CLOSED").
I ended up having to log into my disqus.com account, copy and paste the comments into an HTML file, then upload the file to my blog and link to it at the bottom of the post.
I understand they're providing a free service and thus have little to no accountability. But when you create a service that asks users to entrust their readers' voices and reputations to you, you should make an honest effort to live up to that responsibility.
[EDIT: Disqus is now helping me to resolve the problem. Better late than never! :-) ]