First off whats up man Im down in Chandler. I have some experience with the AZ heat and here is what I used to do when I had a 11 mile commute one way. I would just take a nice easy ride in the morning and the last mile really try and tone it down. Just because it is a dry heat here does not mean you won't get wet. I sweat a lot and the dry heat does help but still its heat!
When i get to work i go straight to the bathroom and run my hands under cold water, that seems to shut off my sweating mechanisms. Then I wipe down with some non scented baby wipes, throw on some deodorant and splash cool water on my face and I'm good to go. I also would bring a clean pair of socks and underwear because those can get pretty wet too. Just get prepared the night before so you are not forgetting anything extra to bring.
Now I have a 37mile commute one way and ride my scooter but some of the same cleaning up tricks work well in the summer.
Good luck man!! I miss my bike commuting