First of all, for anybody who wants to remain a practicing Abrahamic, I would recommended that they steer clear of any kind of Buddhist sect that features a "living" Buddha. (And, likewise, anybody who wishes to renounce Abrahamic theology should avoid converting to a "living" Buddha-sect -- the similarities are too strong, and you would end up practicing Abrahamism by another name.)
A living Buddha is one whose spirit is said to still exist, and be accessible to to humans by means of petition, holiness and sacrifice, and who can influence events in ones favor, in the afterlife or possibly in this life. Aside from being idolotrous (from an Abrahamic perspective), it is a gateway to superstition, and a form of attachment, wholly incompatible with the early Buddhism revealed through the Pali canon.
A non-returner Buddha, however, is much more compatible with monotheism, with atheism, with secularism, with almost any -ism you can throw at it. This Buddha never promised people a destiny of luxury and bliss; he taught others how to think rationality about the inevitability of suffering, in this life, in previous lives, even in the afterlife, so long as you continue to exist as an individual with its own wants and needs. That is the first (and second) noble truth. He taught people that suffering can be greatly reduced, if they control themselves and discipline their minds. Mindful meditation clears the mind; it eliminates unskillful motives, like boredom, loneliness, empty fantasies, and desire for control over the future. It can even help with dependencies and additions. It can be practiced with religious, superstitious, secular, even atheistic intent, depending on what is most effective for you personally.
How does this relate to Abrahamism? It does not directly attack the most valued Abrahamic orthodoxies. Although the Buddha himself was not a monotheistic worshipper (he knew better), he would not argue with you about mysticism and metaphysical questions. He would want to advise you, like he did his contemporaries, on how to make the most of your situation, in your day-to-day life; and he would ask you whether you are spending your time and mental energy most effectively.
Another way to think of it--this may be very controversial--would be that the historical Buddha himself would never take up arms in defense of any country or system of government; but there is no reason why you, as an ordinary person, cannot attempt to study and contemplate the Four Noble Truths, and practice mindfulness, even if you were drafted into the military in a country with universal military service. If your spiritual journey is such that you haven't yet given up the household life; if you, unlike the Buddha, have property and family to protect; there is no reason why you shouldn't defend your possessions, your family, and the regime that makes your profession, property claims, and civil rights possible; and honor your ancestors, who died defenseless, in so doing.