Hey this is some great information and hopefully a few people will chime in as well. First off, what is your car's date of production and would you mind posting all the parts that were done in your repair?
Now it appears that your symptoms were most likely related to the intermediate lever issues and that those were all changed and hopefully will fix the problem.
http://www.xoutpost.com/x5-e53-forum...ssue-06-a.html
What is great is that it looks like you've got a great service advisor over there because when they had the engine stripped they also (properly) upgraded all your CCV valve parts (new cylinder 1-4 head cover that no longer has an integral CCV valve and a hose that now has a integrated CCV valve). However the last part you posted, 11-61-7-550-466 (heater), is very very interesting. A search on Realoem shows that it isn't a part for the E53 X5 at all and in fact it is for Europe only cars, specifically some 1 series, 3 series, 5 series, and 6 series models with these engines.
N43 engine - 4 cylinder 2.0 liter gas & diesel, 2006+
N53 engine - 6 cylinder 2.5 - 3.0 liter gas , 2007+
List of BMW engines - Wikipedia, the free encyclopedia
I wonder why, and where!, they installed it? Anyone with a clue (weasel, killcrap, jcl)?
As far as pictures go, you'd have to remove the 3 plastic engine covers to photograph the relevant CCV valve parts. It's not hard to do, just a little bit of a pain, let me know.
See also this thread.
http://www.xoutpost.com/x5-e53-forum...-pictures.html