P210 and P220 are the official pistols in Swiss army, militia and some police use. I also saw Glock and Sphinx pistols in police holsters. But the most common “unofficial” sidearm seems to be the P32. My Swiss friends estimate that about a third of all military and police carry it as a backup, and it’s very popular with others as well.
P3AT and Ruger LCP also show up but far less frequently. I saw one LCP, no P3ATs and about twenty P32s during my trip. Some people bought P32s in lots of ten against future need. They consider P32 to me a 100 meter gun in the sense that it’s accurate enough to give 50% or better hit probability on a silhouette target. I watched them do it consistently. The same people consider P210 to be a 200m gun.
And yes, it’s a Picatinny rail on a Schmidt-Rubin K31 carbine.