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You've certainly got the start of what could be a really amazing trip.

since there are sequoias in Yosemite and Redwoods. Good choice, bad choice?
Actually, that's not quite true There is a grove of Sequoias within Yosemite, however that area is closed as part of a restoration project and will not reopen until 2017. The Redwoods are also a fantastic area, but coastal redwoods are a different kind of tree than the Giant Sequoias you can only find in the Sierras. You pretty much have to go to Sequoia National Park to see Giant Sequoias. If you want to go to Sequoia, you could look at going from SF to Sequoia, then back north to Yosemite, and then up and over Tioga Pass.

Otherwise, I will say despite a month being a great amount of time, it will go by faster than you think. Including San Francisco, you listed 16 places you want to visit. You'll also have close to 3,500 miles of driving - which is roughly 7 full days behind the wheel. With most of the places you want to see really needing at least a full day of your time, and some places (especially Yellowstone) really needing a few days, you've already got a full agenda. You might want to sketch out a rough day-by-day plan to make sure you aren't overextending yourself in areas.

You should also look at making camping reservations in some of the most popular parks - as sites can fill up quickly. While you probably could camp every single day, I usually plan to spend about 1 night a week in a motel, to account for possible bad weather or just wanting a real bed.