The book is surprisingly weak, particularly considering the track records of its writers. There is not a single surprise in the entire plot, not a moment that couldn't have been written by a reasonably talented playwriting student. That the show relies on cliches would be less of an issue if Logan and Yorkey justified them for these people in these circumstances. But they don't. Also, the lead character is thoroughly unlikable, and many characters are insufficiently introduced. When Peggy White, nicely played by Sally Ann Triplett, has a solo, the first response is, "Who is this person?" The second is, "Why should I care?"
"Why should I care?" is the question that haunts The Last Ship. With the characters so thinly sketched and the plot so predictable, the show comes across as a thematic concert rather than a full musical. However, it does succeed as a thematic concert. There are many wonderful voices on stage, and the music is beautiful. If you like Sting's work (the music is almost ridiculously Sting-y), you'll enjoy the score.
The cast is mostly effective, and the show is great to look at, with marvelously evocative scenery (David Zinn) and lighting (Christopher Akerlind). But ultimately, there is very little there there. An original cast recording could provide 90% of what's good about The Last Ship at roughly 14% of the cost of an undiscounted ticket.
(row N, extreme audience right, tdf ticket)