I think the whole 2 weeks at the beach in August would be perfect for me. Some people could spend a whole week at the beach of San Vito Lo Capo and be content. Others could spend a week just visiting the Duomo of Monreale and the Cathedral of Palermo. So it really depends on your interests. To each his own.
Palermo is a beautiful city, but I wouldn't stay in the city in August. In the city center it's hell hot. At most 3 nights, but I'd stay on the beach at Mondello, at least you get some sea breeze and you can hang out with the beach crowd. Then to visit the sights you can take a city bus, so you don't have to deal with traffic or parking. The bus from Mondello to the city center takes less than half hour.
Scopello/Castellammare is a great base for Segesta, Zingaro, Trapani, Erice, Selinunte, San Vito lo Capo, Favignana. To visit all of those above places that you mentioned, 5 nights are probably not enough. Palermo is less than 1.5 hours away, if you care to stay there longer and visit Palermo on a day trip.
Ortigia and Syracuse are pretty. Ortigia is a small island can be seen in a few hours. The Neapolis Archeological Park of Syracuse requires a few hours also. Modica and Noto is a day trip. I think 3 nights is adequate. Since you have a car, you don't need to stay in Ortigia itself, you can stay outside town. If beaches interest you, then you can stay at Fontane Bianche or you can stay at this Agriturismo I stayed once, near Fontane Bianche (about 20-25 min drive from Siracusa). They have a beautiful beach on the property too.
Valley of the Temples+Scala dei Turchi. You need one night here, to do both and not be forced to leave your luggage unattended in the car, which is never a good idea.
Cefalu, in my opinion, can be visited from Palermo (if you stay in Palermo) or maybe one night, two nights at most.
I'm not that fond of Taormina, it's expensive and crowded like Disneyland, however it's a must for most people, and if you've never been you need to see it. You can couple it with the Etna excursion, which would take most part of your day. I think 2 nights is the most I'd spend. In the morning I'd take the Etna excursion, then it the afternoon/evening I'd hang out in Taormina. You can stay down the hill at Giardini Naxos, there are several beach hotels, probably with parking arrangements and it would be cheaper.
You can also add nights to Siracusa area and day trip from there, but it will be at least 1.5 hours drive each way. That wouldn't be my preference, but it's doable.