Appears that we needed a DIY for removing the alternator because some feel that you need to remove the alternator bracket.
It would make it easier, but isn't necessary.

1) Disconnect and remove battery along with the upper battery tray to gain some room (and to prevent electrocution).
The pic below I have the whole battery box removed, but its not required (I was working on something else too).
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2) Disconnect the harness to the alternator.
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3) Open covers to expose the wire and nut, then remove nut and wire from housing.
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4) Completely remove tension bolt and the piece that runs through the alternator bracket (piece the tension bolt threads through).
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5) Remove bolt that secures alternator to the engine.
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6) Removing the intake's accordion tube will make things easier.
Remove all hoses going to the accordion tube, loosen the clamps, and remove it.
Also, remove the electrical connector to the throttle body.
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7) This is where having the accordion tube out makes it easier...
Use a large flat-head screwdriver to lift the alternator out.
You'll need to "rock" the alternator while lifting it.
It'll take some time (few minutes), just be patient and you'll see it begin to lift out.
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Some good FYI provided by TeamRX8:
The reason you have to rock it back and forth to get it out is because there is a sliding bushing in the lower mount that cinches up against the lower alternator mounting tab.
Once you get it to slide back a bit the alternator lifts right out.
When you tighten down the bottom mount bolt on the re-install it cinches back in place again.

8) Now rotate the alternator counter-clockwise (if facing from the front) and then rotate sideways.
The alternator will come out forward and under the bracket.
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9) Enjoy a beer since you managed to get the alternator out without removing the bracket.
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Just re-install in reverse order!

it's probably worth noting that the reason you have to rock it back and forth to get it out is because there is a sliding bushing in the lower mount that cinches up against the lower alternator mounting tab. Once you get it to slide back a bit the alternator lifts right out. When you tighten down the bottom mount bolt on the re-install it cinches back in place again.

Thanks Team.... I added your quote to the DIY.
Even though I'm sure people would have seen your post right after the DIY, I wanted to give you a little credit for the suggestion ;)

Nice, I thought I was going to have to buy a set of metric open end wrenches until I found this.