You can literally claim 'breach of contract' and force them to perform under the contract. Stripe can stop further processing under the contract by all past actions until their notice of termination is going to be under the contractual terms as prior agreed upon.
It probably doesn't really matter though. Your contact with Stripe probably requires arbitration but that isn't necessarily a bad thing either.
Check out:
https://news.ycombinator.com/item?id=31567673