I was just about to post something very similar. It lives long in the memory. Saw him several times but that was the best. For us, Elton came the closest.
Seem to remember the first I heard of The 1975 was opening for Muse at the Arsenal FC stadium in 2013, albeit on the second night whereas I went to see Bastille on night one instead.
I was under the assumption Muse will turn up somewhere else in the UK tbh. If less sure as to what given many of the places I thought they might surface have released line-ups without them on.
They are booked for Dot To Dot that weekend, with the same promoter, so if they're happy to play 3 nights in a row (or maybe be on Wednesday/Thursday) then that could be a good shout.