I'm listening to a podcast with Alex Ross Perry, and he mentions Kluge and Tarkovsky as similar filmmakers when it comes to ideas of memory. I've never seen a Kluge film, but Tarkovsky is one of my favorites. Do they share similar aesthetic qualities and methodical long takes (and I would extend to Bela Tarr)? Are they similar in anyway?
I wouldn't really say so, to be honest. Kluge is a great filmmaker and I can see what Perry means about both his and Tarkovsky's films being edited in memory-like styles, but I wouldn't suggest Kluge's films are all that filmically similar to Tarkovsky. In much the same way that Tarkovsky's 'Mirror' moves about from one situation to another in a comparable way to how memory drifts, seemlessly flowing from one period of our life to another without consideration to epoch or location, Kluge's films frequently jump around in time and space, but the cuts in Kluge's films are much more abrupt and rapid. Kluge's films are generally highly political and are put together in a way that's often quite experimental; the way his films jump from one idea to the next is more like how an alert memory might grab many ideas at once and jump between them noisily, rather than the much slower, more poetic way that's familiar from Tarkovsky's work. Kluge has been compared to Godard a few times, so if you're familiar with the way many of his films are edited then you probably have a closer comparison to Kluge's style.