Indian English is English as spoken by people whose first language is an Indian language (mostly Indo-Aryan or Dravidian). The English of India is strongly influenced by Indo-Aryan phonology, morphology and syntax. In this particular case I think we have to see a calque on the Indo-Aryan use of the infinitive as a semi-polite (or politeness-neutral) imperative; e.g. as in Hindi bacnā “look out!”, which is formally an infinitive (“to look, to be looking”), but is used here as a command form.
May I add that “to be + VERB +-ing” is a perfectly “normal” (to use your word) present continuous infinitive in English (“It is time to be looking for a new job.”) What is not normal in standard English is its use as a command form.
See R.S. McGregor, Outline of Hindi Grammar, 2nd edition, p. 41.