Illumina Inc. ILMN said Monday that activist investor Carl Icahn’s board nominees are “unqualified,” urging shareholders to reject all three of Icahn’s nominees and instead support its “highly qualified” nominees. That’s the latest salvo between the genomics company and Icahn, who earlier Monday issued the second letter in as many business days to Illumina investors, saying that Chief Executive Francis de Souza and “protectors” seem “dead set on destroying the company.” On its letter to shareholders, the company said it plans on creating “long-term shareholder value” in addition to the request for support for its nominees….