Well, I don't have the roof completely removed as hoped, but considering my help never showed up, I'm happy with how much I was able to accomplish by myself:

Except for a bit around the edges, all that is left is the original fiberglass roof.  This last layer should come off without much resistance.  The toughest part remaining is the section under the eaves (lower left of the photo above).  Sometime after the fiberglass roof was put it, the house was reroofed and the overhang increased, extending about a foot or so over the patio.  And sadly, I've discovered that the asphalt, tar and aluminum extend all the was under the eaves as well.  This will make removing that last part difficult to say the least.  On a brighter note, I had an epiphany this afternoon.  Here is how the patio roof looks now as viewed from the roof of the breezeway between the rear wing of my house (to the left) and my garage (to the right):

The large section of the patio roof to the left of center is the original patio roof and slopes from left to right.  The carport roof (far right) and the section of patio roof to the right of center were added at a later date and slope from right to left.  This created a butterfly roof of sorts and a drainage nightmare with the water (of which we get plenty) draining from the house roofs onto the patio roof, collecting in the center of the patio roof and originally into a gutter that ran along the valley, sloping away from the front of the house and down a downspout at the corner of the garage.  Later, the water was directed along the valley, then onto the breezeway roof and eventually off the roof at the back edge of my lot.  But what occured to me today is that since the patio roof is independent of the carport roof, there is no reason the entire patio roof can't slope away from the house (left to right) all the way to the carport.  And there is plenty of height inside the patio.  It will require reframing that portion of the roof, but now is the time to do it.  My coworker who has been helping me with my house (not the coworker who didn't show up today) was planning on coming over on Sunday to help put on the roof, but I think I'll have him reframing the roof instead.  I hadn't really figured out what I was going to do for drainage.  I was thinking about recreating the gutter and downspout system, but that would have hard to build, harder to maintain and was a leaky mess waiting to happen.