I don't know exact times, but there can be a wait for Epcot monorail to come. We have waited at least 10-15 min for one to show, but if you don't get on it due to crowds, then you may have to wait another 10-15 min for the next one. Then it's like a 17 min ride to TTC according to OLP Transportation Wizard. Then once you get to TTC, you have to get off & walk around to get to the MK monorail. MK is the 3rd stop on that monorail & will take 17 min again according to OLP. So I would plan on it taking 1hr to get there to be safe.
I am sure someone here can give exact travel times.
To see the website I used, do a search for Our Laughing Place transportation wizard.