I would second the caution that others have thrown in.
I did this hike couple of weeks ago with a friend who has never been above 10kft (both from Bay area). We slept overnight at Oh Ridge campground (~7600ft; others were all booked/occupied). That was good enough for me in terms of acclimatization; but not for my friend. He had severe headaches when we were back from the hike. I would strongly recommend going there early the previous day, doing easy hikes around Tuolumne meadows, camping near by overnight and then heading up the mountain. Electrolytes + UV protection + cold weather backup are all recommended.
After this hike, you'll get to know more about your body and how much physical exertion it can handle at altitude. You can fine tune as appropriate when you are back again in the high country.
It appears that you are already cautious about the weather. You'll be exposed to the elements on the mountain, as there is absolutely no place to run for cover. Watch out for worsening weather. The mountains are always there.
Cheers!