Yes, alcohol "does" kill bacteria. But H2O2 kills'em better. The reason "Germ-X" contains 85% alcohol is because alcohol has a better shelf life than peroxide, which slowly degrades over time, and that alcohol is a better solvent for any other ingredients that might be added (peroxide will tend to oxidize them).
Keep a bottle of 3% H2O2 in your bathroom cabinet (in its ORIGINAL BROWN BOTTLE--important, because UV light accelerates the decomposition of H2O2 into water and oxygen), and swab any cuts or scrapes with it--ESPECIALLY if they show signs of inflammation. You'll only need one treatment to stop most infections in their tracks.
I had to pass a medical exam before entering this country as an alien.
I guess the "overwhelming migration" has done away with that kind of precaution (among others).