What makes these people 'Buddhist' - their clothes?
Even if we say that at the most essential level, to be Buddhist involves belief in the Buddha as the enlightened teacher of our age, which Buddha are we referring to - Shakyamuni, Amitabha, Vairochana, or some other embodiment of Nirvana? If we insist that the historical Buddha Shakyamuni is the only 'real' Buddha, then this not only discounts the small number of followers of Vairochana Buddha, but also the millions and millions of devotees of Amitabha Buddha, the most popular Enlightened One in the Far East. By this criteria, those that devote themselves to Amitabha and Vairochana are at risk of being seen as heretics, worshiping not false gods, but false Buddhas. Perhaps, if we see Buddha as that part of us all that is inherently enlightened, unlike these egos, then we may begin to find a way to describe all those people that consider themselves as Buddhists as being so. But then, every single being on this planet (and on any other planet for that matter) posseses an innate 'Buddha Nature', so in this sense we are all Buddhists, including Christians, Muslims, atheists, dogs, and mosquitoes!
Maybe it is in the way of life that we live that we might be considered Buddhist, for to live with mindfulness regarding body, speech, and mind is surely a basic foundation of being Buddhist. But then again, are the majority of potential Buddhists in the world actually living mindful lives, heedful of their actions, words, and thoughts? To some extent, any system of thought that encourages a moral outlook on life requires a minimal level of mindfulness to maintain such ethical standards, but there's a difference in being heedful of certain moral guidelines and being awake to minutiae of everything we do, which Buddhist mindfulness practice requires.
It's not only mindfulness that sums up a Buddhist way of life, however. Compassion and kindness are central elements to living in a way recognizably Buddhist in flavor. Insight without these finer emotions is an imperfect insight, and a life bereft of such qualities is surely one that is barely worthy of the description Buddhist. Compassion and kindness are not peculiar to Buddhism, however. Jews, Hindus, and probably aliens for that matter are equally capable of relating to the world in compassionate and kind ways as Buddhists. So, again, if we use these qualities as ways to define what it is to be Buddhist, we will end up classifying any decent human being as being so. But, then, perhaps this isn't so terrible...
This investigation into what it is to be Buddhist seems to be leading nowhere; but this isn't really so, for it keeps bringing us back to our basic humanity, to the ability at heart that we all have to develop generosity, morality, mindfulness, and wisdom. That these qualities are not solely associated with the label 'Buddhist' is not only obvious but also uplifting. In a nutshell, being Buddhist is being human. We are all, in some ways, 'Buddhist' whether we use such a title or not, and whether we attach to certain doctrines or not; equally,we are all innate Buddhas, waiting to explode our compassionate wisdom into the world at the appropriate moment. And that moment is always now. Being Buddhist is being Buddha, and here the teachings of that old Zen master Huang Po come to mind; all sentient beings are Buddha. As previously explored in Buddha Space, there is no 'us' and 'them' in being Buddhist, nor being Buddha, for that matter.
May all beings be happy!