The key point of QKD is it makes perfect secrecy (using one-time pads) practical. One-time pads are the most secure form of cipher. The only way anyone can decrypt something encrypted with a one-time pad is if they have the one-time pad--no amount of computing power will EVER be able to break it.
As for using RSA to secure QKD, it actually has significant benefits. Once the QKD is started, any tampering with the optical fiber will be detected at both ends, so a MITM will have to interrupt while the fiber is dark. If the key is switched every time the QKD is started then the MITM would have to break RSA within milliseconds with only a single authentication token. This will be infeasible for a LONG time.
There are also some other things they can do to verify it. They can use clock synchronization to verify that the photons are traveling along the known distance of the fiber optic cable. They can use multiple communication channels after the key is measured to reduce the probability of an undetected MITM attack (i.e. mail the hash of the key, call them using a telephone and compare hashes, post the hash on a website, email the hash, etc). The more they do, the more likely any MITM attack can be detected.