Although GraphQL solves some of the problems Redux was created to solve, I don't think they're mutually exclusive at all.
I guess it largely depends on your project needs; try starting with a GraphQL query implementation, and if you ever feel like you need global state management that you can't fix with a combination of accurate server queries, props and the context-api, then and only then I'd suggest adding Redux to the pan.
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Although GraphQL solves some of the problems Redux was created to solve, I don't think they're mutually exclusive at all.
I guess it largely depends on your project needs; try starting with a GraphQL query implementation, and if you ever feel like you need global state management that you can't fix with a combination of accurate server queries, props and the context-api, then and only then I'd suggest adding Redux to the pan.