Replaced mine earlier this week but I didn't take any pictures. =(
http://www.xoutpost.com/x5-e53-forum/...-x5-3-0-a.html
A couple of points for you. The back of your alternator has the manufacture and amp size. Too bad you can't see it to place your order but I suspect yours should be the same as mine.
Mine was a Bosch 120A alternator and came with the pulley attached. The replacement was identical and I paid $154 (mechanics (father-inlaw) discount) for it locally and it did not include the needed $100 core deposit. I took off the Air filter housing/duct work and took off the two bolts that holds the steering pump resevoir. This allows you to move the resevoir to the side to make way to pull the alternator up. I also took off my fan blade as this allowed me to get some more space with trying to take off the two alternator bolts.
Removing the fan blade may not be necessary but I already have the special tool to hold the fan steady so that I can spin the fan nut off. Some folks can probbaly get away doing this without the tool. The fan nut is reverse thread. I was orginally going to remove the tensioner pulley to but opted to remove the fan blade just to get some more working room.
To save time, make sure you record the travel direction of the fan belt. I had to reference this board
for the diagram to confirm it was placed back correctly. I was initially wrong.
There are two connectors on the back of the alternator. One is a clip type and the other is a plastic cover over a nut that holds the red cable. Using a rachet on this is fine. I spent some time on this as I thought the cap pops off the nut but its attached to the bolt as one.
There is also a hose attached to the bottom of the alternator that you can snap off. Be careful when using a screw driver as you may break the plastic on the alternator side when trying to release the hose. Your new/rebuilt alternator should have this anyway so this point may be moot unless you need to take the core back in good condition. =)
Once I disconnected the alternator, I just pulled it out with the pulley side facing up and installed the rebuilt the same way. There is a nut that you may need to adjust on the bottom part of the alternator that prevents you from getting it onto the bracket for mounting. This can be easly hit or punched out slightly. When you mount it back with the bolt, it will pull the nut back in so don't worry. Be careful on hitting the alternator with a hammer directly when trying to hit this nut. Use a screw driver or another tool to punch or push the nut out while tapping it with a hammer.
This may sound like a lot but as you begin the break the X down to get to the alternator, it will make sense. Hope this helps.