About the calculus for the project

Now you can understand why I clearly distinguish Rob's work and Tim's work.

Rob just wrote yet another replacement for busybox - may be technically interesting, but legally pretty plain project. It used the same GPL which both busybox and Linux kernel are using thus it was not all that interesting from the legal perspective: yes, SFC had no way to enforce it's copyright, but thus was just Rob's goodwill, it was easy for him to change his mind at any time. Hardly a reason for a hypothetical sleazy company to be excited. And hardly anybody was excited: toybox was around for years but was mostly a curiosity not worth talking about much.

Tim, on the other hand, convinced Rob to change license and make it as close to public domain grant as possible. Now it becomes much easier to infringe on kernel's copyright. Tim even admits it's directly:
Q. Is this being done to prevent the SFC from asking for the source to the Linux kernel?
A. No, although it would have that effect. As part of their request to remedy a busybox GPL violation, the SFC does ask for source code unrelated to busybox. Personally, I believe this is improper. However, my main reason for proposing this project is to avoid having the SFC gain review authority over unrelated products produced by a company. The larger the set of Linux-based products that are produced by a company, the greater exposure there is for a possible mistake, and the greater potential costs that would incur in the event of litigation and/or settlement.
Of course he also continues with rhetoric that his goal is not to help copyright violators, etc, but... how much it helped other companies you've mentioned here?

I personally do hope that people would not find this argument reasonable way to think about licenses, because in general case any piece of software that happens to eliminate another piece of GPL software could be argued to help facilitate GPL infringement on the remaining software.

Nope. Again: context matters. As rahvin already wrote: The court verdicts to date have basically established the precedent that if the intent and use of the product was for the primary purpose of infringing copyright, even if there are legitimate uses that make up a small part of the use case, that the parties responsible are guilty of contributory copyright infringement for the behavior of their users. Not only you should show that someone picked your piece of software because it's under BSD license (that's understandable: less rules to follow), you must show another piece of GPLed code which is commonly used with first one and show that most users of your software not only continue to use it, but also do it in violation of it's copyright. Tall order, indeed.

But as you point out, law is essentially insane and random, and stranger things could happen. My personal feeling, however, is that this is not fair nor right, whatever the courts might find.

No questions here. I also feel that copyright's power is inflated way, way, WAY beyond any reasonable limits. But... dura lex sed lex. And since Disneys and SONYs of the world were instrumental in said insane inflation it's only proper to apply no mercy, as much punishment as possible principle to them.

You're claiming that my new project might be considered an infringement facilitator AGAINST MY OLD PROJECT, and that stopping the lawsuits I _started_ might somehow legally do... something?

Oh yea. Absolutely. This is what this lawsuit is all about. Oracle even explicitly claimed that the fact that the very same people are working on Dalvik that worked on Java decades ago increases Google's liability. Or perhaps you live in some other world where such things never happen?

Your honestly believe that the legal system can and should forbid people from doing new things that compete with (and obsolete) their own previous work?

That's different question. I know that the legal system can and does forbid people from doing new things that compete with their own previous work. I'm not saying it's good thing - that's another thing entirely.

And you take this position in defense of "freedom", as defined by the FSF?

Law exist without FSF's freedom. Government changes it, not FSF.

I've pointed that what you are doing is probably illegal and that you can be sued for doing it in the future. This is almost certainly true. But I'm not saying that this is what FSF should do. Just because you can sue someone does not mean you should. That's different story altogether.

I ask seriously: are you crazy? Do you need some kind of diagnosis and treatment?

Me? I'm absolutely sane. The copyright world is crazy - but sadly I don't know how to cure it.