Super glue, I think -- but only if you pin it first. That is, you'll need a hobby pinning drill (NOT a power drill!) to drill a hole into both pieces, then join them with a small piece of wire. (I use straightened-out paperclips cut to length for this purpose.) There's no "wonder glue" that's going to bond such fine little pieces suitably otherwise, in my estimate.
I use fender washers for my bases. Do you think a pinning drill would penetrate the washer's steel?
Love the paper clip idea, BTW!!! I''ve been using straight pins. They don't bend/flex too well.
I hope we see more adventures from the meddlesome kids!