I finally did go up Mount Lemmon, thanks to your advice
I finally did climb Mt. Lemmon. Some great views, some nice fellow cyclists, and it wasn't too hard. But I did notice some overly fast motorcyclists zooming down, which does complicate things for bicyclists. I cycled down Mt. Lemmon too, which was a thrill, but I was admiring scenery and almost drifted off a cliff.
Still, I recommend it.