What are the products of the electrolysis of saltwater using aluminium for anodes"?

at the cathode u'll obtain hydrogen (nothing to do with the atmosphere, just the water in the your solution)

2H+ +2 e- --> H2

and at the anode u'll obtain chlorine or oxygen, depending on the  concentration of chloride ions because there are 2 possible reactions

4OH- --> 2H2O + O2 + 4e-

or

2Cl- --> Cl2 + 2e-

aluminium being oxidised is a small possibility, because its oxide layer prevents it from participating in the reaction.

The Aluminum won't last long at all.  As the electrolysis takes place, you'll be forming a fairly strong sodium hydroxide solution which will eat away at the aluminum forming a lot of hydrogen gas.  You'll also have the chlorine gas reacting directly with the aluminum where the oxide layer has been eroded away.  Finally, the little bits of HCl that form as a result of the dissolution of chlorine gas will eat away at the aluminum as well.

For aqueous electrolysis, don't use aluminium electrodes. You'd only get an ugly mess. Take stainless steel or graphite. Saline batteries contain a graphite electrode which you can extract, if minding the other compounds in the battery.

Electrolysis of salt water: no, you are NOT safe. This is not a matter of electrodes. Salt water electrolysis releases chlorine and hypochlorite, and both are harmful. It's a matter of ventilation and of production rate. A simple base like NaOH would be better.