In relatively gravity is not a force like Electromagneticism etc. Instead, space time is curved and as a result the object itself is travelling in a straight, in accelerated line and only looks like it is accelerating to an observer outside of the curved space.
So relativity has no gravitons and instead curves space.
In quantum physics the opposite is true: space is flat, and gravity is like other forces, the result of particle exchange.
This is one way that the two systems are incompatible.
This is incorrect. A classical limit of the graviton picture fully reproduces general relativity. The incompatibility lies in the non-renormalizability of people's attempts and quantization of the Einstein Hilbert action, meaning that all the quantum loop corrections have unfixed coupling constants which can't be derived from the classical theory (unlike things like electromagnetism).
So relativity has no gravitons and instead curves space.
In quantum physics the opposite is true: space is flat, and gravity is like other forces, the result of particle exchange.
This is one way that the two systems are incompatible.
Again, happy to be corrected...