I do the ice in mugs with water. Never beer. But I do understand why one would add ice to some beers here. Dilutes the awful taste and can stretch out a beer for a bit longer with the ice melting.
It's funny because until I arrived here I had never seen anyone ever put ice in a beer. The first time a gal brought me a little ice bucket to the table with a Leo I thought. Great., so I moved the ice around and put the bottle in it to keep it cool. Got some funny stares.