Morrissey tour setlists evolve slowly over time.
You're not going to see a radical change from the last US date to the first UK date. Rather, you will likely see a handful of 'new' (aka different) songs rotated into the set over the course of the tour. Meaning, chances are the setlists you see now in March will probably be somewhat different come July. But it doesn't happen overnight - these things take time, to borrow a phrase.
However, thus far, while no HUGE surprises (now that we've all digested "This Charming Man" and "I Keep Mine Hidden,") he has been mixing it up night-to-night fairly decently. At least as compared to, say, 2002 where the set was pretty much the same for the entire tour, with the exception of "Hand In Glove" being added towards the end.