I occasionally have react components that are conceptually stateful which I want to reset. The ideal behavior would be equivalent to removing the old component and readding
You should actually avoid replaceState and use setState instead.
The docs say that replaceState "may be removed entirely in a future version of React." I think it will most definitely be removed because replaceState doesn't really jive with the philosophy of React. It facilitates making a React component begin to feel kinda swiss knife-y.
This grates against the natural growth of a React component of becoming smaller, and more purpose-made.
In React, if you have to err on generalization or specialization: aim for specialization. As a corollary, the state tree for your component should have a certain parsimony (it's fine to tastefully break this rule if you're scaffolding out a brand-spanking new product though).
Anyway this is how you do it. Similar to Ben's (accepted) answer above, but like this:
this.setState(this.getInitialState());
Also (like Ben also said) in order to reset the "browser state" you need to remove that DOM node. Harness the power of the vdom and use a new key prop for that component. The new render will replace that component wholesale.
Reference: https://facebook.github.io/react/docs/component-api.html#replacestate