Oh! And I'll be making this trip starting next Sunday or Monday.
In this case the mountain passes will be closed due to snow accumulation and you won't be able to enter Yosemite from the East. If Vegas is not of much interest I would head towards the Bakersfield/Visalia area from Flagstaff and continue to Yosemite next day, giving you a little more time in this amazing NP.

As mentioned you wont be able to drive CA1 around Big Sur from Monterey, you will have to use the 101 to the Cambria/Morro bay area, or make the trip ina day on I 5 and spend a day in SF.