Mind you tenzin gyatso, dalai lama is a qualified master, but he is not THE ONLY qualified master. he is famous mainly because of his historical and political status, and being the most famous does not mean he is the most attained. being famous is just a wordly phenomenon.
there are many equally attained masters in shar gaden - trijang rinpoche, domo geshe rinpoche, gaden trisur lungrik namgyal rinpoche etc. these masters are not as famous as the dalai lama, but their level of attainments are the same.
so for the monks in shar gaden, why should they feel uncomfortable if they are really practising dharma? they are not after name and fame, they are not going to be jealous just because the dalai lama is giving teachings to thousands next door at gaden monatery, they have their equally attained gurus in shar gaden who can equally bring them to enlightenment.
so what 'enemies', what 'anti-believers' are you talking about? dalai lama is a qualified master but not THE ONLY master which can bring people to enlightenment, if u r so after fame, why dont u go and follow obama? he is more famous than the dalai lama, so according to your logic, he is more attained and will bring you to faster enlightenment, so why dont you go follow him?