The small bolts on the "bracket" are no big deal & can be taken off LAST. There are two large main mounting bolts that hold the alternator in place. You found the lower one, but I think you might have missed the upper main mounting bolt. You can feel it through the wheel well at about the 11:00 position on the alternator.
To get at it you need lots of extensions (about 3 feet should do, more if you got em), a wobble extention at the end & a 13mm socket. You thread the socket & extensions in through the driver side & secure the socket on the bolt from up top. Then back to the driver side wheel well, attach socket wrench & have at it. Be sure to apply pressure to hold the socket on the bolt. Kinda a pain, but it's the easiest way I know of.