Quantum mechanics is not inconsistent with general relativity, the standard ways of quantizing a theory fail for general relativity. This is not a surprise; physicists knew that these standard methods were not complete, they just produced theories that worked well enough when applied in other areas. Based on your post, it is somewhat likely that you read popular material about loop quantum gravity. If that theory is consistent, has the right long distance limits, etc., then it is both a quantum mechanical and general relativistic theory.
GR and QM are generally agreed to indeed be inconsistent. There are various attempts to come up with theories of quantum gravity. One of these attempts follows particle based physics: string theory and extensions of string theory. The other attempt is GR based, and includes loop quantum gravity and canonical quantum gravity (along with extensions, such as fixed-foliation quantum gravity).
I'll give you that loop-quantum gravity is "quantum mechnical" and "general realtivistic". But it isn't QM or GR. This isn't a reasonable way of defending your claim that QM and GR are consistent.
And no, I don't read any popular literature. I hope the above helped explain my previous post a bit.
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Why did you not write this as a reply to me?
[Citation needed]
Quantum mechanics is the theory that reality is described by the Schrodinger equation; loop quantum gravity includes the Schrodinger equation. Its proponents claim that it includes the general relativity field equations as a long distance limit; that is what we mean when we say that one theory is a quantization of another, just like quantum and classical electrodynamics.
95% probability less than 10% of the physics you read is from journals/arXiv.
You are insane.
Feel free to make further claims you have no evidence for. Here's an article from arXiv you might find interesting: http://arxiv.org/abs/0809.4144
I'm surprised that you put arXiv in the same class you put whatever it is you mean by journals. Maybe I should take the above article seriously? After all, arXiv makes it available. Get out of town.