I don't believe they have any serious belief that they'll win. Their cases are just too factually deficient. Rather, I believe their hope is to ruin the defendants financially and force them into default. And, even failing that-- create a chilling effect to silence anyone who might otherwise be critical of their crooked schemes.
That said, other countries will frequently enforce foreign judgements. In this case, the specific performance they're asking for would likely be unenforceable in the US (and useless regardless) -- but damages might well be enforceable.
That said, other countries will frequently enforce foreign judgements. In this case, the specific performance they're asking for would likely be unenforceable in the US (and useless regardless) -- but damages might well be enforceable.