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.
Even if quantum mechanics is overthrown, whatever replaces it will have to be enough like it that we would not have noticed the difference, which is a very stringent requirement, especially given quantum computing experiments. Quantum mechanics is a very rigid structure, and it is difficult to make something only slightly different.
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.
Even if quantum mechanics is overthrown, whatever replaces it will have to be enough like it that we would not have noticed the difference, which is a very stringent requirement, especially given quantum computing experiments. Quantum mechanics is a very rigid structure, and it is difficult to make something only slightly different.