In fairness to him, his 'anti-monarchist rhetoric' is pretty thin on the ground. The only thing I recall him saying on the topic is that yes, he would rather have a republic but that was not the conversation he wanted to have, so it wouldnt become policy. That was at the beginning of his first leadership campaign, he hasnt really said anything else on the matter since.Alright interesting, I take it that might dent Corbyn's chances if he continues with the anti monarchist rhetoric.
That probably goes to the heart of the reason that the monarchy will likely endure for some time to come. There are Republicans out there in the UK, even if they are in the minority, but practically all of them would rather talk about other issues than rock the boat by proposing a referendum on the monarchy. The best chance there is for the UK to become a Republic is Charles sitting on the throne. He has never really been all that well liked by the public, and he appears to want to be a more interventionist monarch than his mother. If he dies shortly after our current Queen, the subsequent public sympathy coupled with William's popularity would boost the monarchy's support considerably.