When starting on this topic, I was questioned as to my understanding of it. It's rather simple, really. Buddhism believes:
Reincarnation is torture and suffering as we are forced to bounce between 5 levels of heaven and hell. Karma of each life places us in the next life. Bad people go down, good people go up, but nothing is permanent, and you will continually bob around. Buddha created a "middle path" by which it is believed he would never reincarnate again. Buddhism, is therefore, the ultimate suicide, the nirvana of "blowing out" your existence. According to Buddhists, the Buddha is dead. The antithetical statement would be something like "I am the reincarnated Buddha." That statement is a complete contradiction in terms. Though they meditate on the idea of what Buddha was, saying "I take refuge in Buddha."
Now, one could go into pillars and particulars, but I just wanted to answer the question. No, I am no Buddhist. I don't believe in reincarnation, nor Karma in that sense. Frankly, if you don't believe in an afterlife, you can't be a traditional Buddhist. no more than you can be a traditional Christian.
Further, it was just as sexist. The first woman who asked to be a follower was denied by Buddha. Finally, after continual begging, the woman was allowed to be a nun. But with a restriction: even the highest nun sat below the lowest male monk.
I find it ironic and disturbing then that any modern feminist, male or female, would consider any belief whose founder was sexist.
Clearly under this belief, to be born female was lower karma than being born male. If you are a good enough Buddhist, maybe you'll be a man in the next life. How ignorant!
I'll be working on scarcity models, of which religion is a major component, supported by superstitions. Buddhism will be a part of this. We'll look at what might be useful in some religions, and toss the rest in the garbage. Let's "blow out" superstition.