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> Perhaps a 3rd option is to go on the attack, and find some angle from which to sue Twitter?

Sueing twitter isn't likely to go far. Twitter doesn't have responsibility for their users' speech (with some very specific exceptions that don't include libel or defamation), and doesn't have a legal obligation to operate its moderation system. I don't think there's much to pursue there, unless there's something very unusual in the TOS.

You'd need to sue the people making the claims, but there's jurisdiction issues; if the alleged corruption of the government of Pakistan is the case, suing in Pakistan would seem to be unlikely to result in the desired outcome. On the other hand, a court in the US, where the OP resides, may not be willing to assert jurisdiction over speech by someone in another country, and the speaker is unlikely to participate in a US case.

In any event, such a case is likely to take years, which doesn't address the immediate nature of this issue. But I don't know how Twitter could really evaluate truthfulness of claims like these.