Very little of Eastern teachings insist on full belief. You can meditate, you can benefit from the ancient wisdom, you can accept and reject what you want. I highly recommend books by Pema Chodron: http://www.amazon.com/Pema-Chodron/e/B000AP9Y2A
Also, some Zen philosophy is helpful: http://www.amazon.com/Each-Moment-Universe-Being-Time/dp/1590306074/ref=sr_1_1?s=books&ie=UTF8&qid=1425390542&sr=1-1&keywords=every+moment+is+the+universe
I regard much of the eastern thoughts as viewing the scientific world in a spiritual way. In other words, it reflects how we interact with time and positive thinking and energy and the karma stuff is just about being good and beneficial to each other and receiving the same back. Science is wonderful but it can't really give us the calm and deep thoughts on those things like Buddhism and Taoism can. I certainly don't believe any reincarnation stuff or that the Buddha lived the life that the myths teach. I believe that the teachings are not meant to be taken absolutely literally and that most eastern philosophy followers actually get that. I believe that teachings on Jesus were written in the same way, but were corrupted into literalness somewhere along the way.