Wild idea: Labour should just lean into "yes, we're enabling immigration, and that's good" -- stop playing on the Tories' "immigrants are harmful" playing-field and start talking about the benefits of a pluralistic society, the economic gains that immigrants bring, the fact that we're all human beings dealing with difficult times together, etc.
It won't happen, of course, but that's what I'd like to see Labour (and Dems here in the US) doing.
CatherineFlick