Distance from home and the ease of getting there will be very important factors in desertion. As has already been mentioned, US troops in Europe are likely to have a low desertion rate while those units within the US are likely to be nearly haemorrhaging soldiers.
The same goes for the Soviets in Alaska, not to mention Division Cuba. Soldiers are much more likely to remain with the military organisation than attempt to head out on their own.
There will of course be exceptions to this general rule. It is quite possible individuals and small groups of a few disaffected soldiers will desert in a foreign land and become marauders, or even switch sides completely, but these will be relatively rare.
However, even if a unit is located within their national boundaries, many soldiers may choose to stay with the unit. It is much more likely that these nationalities have had the chance to find out the situation at home and may even be in fairly regular contact. It could be that by staying in the military they are able to assist their families (or what's left of them) by sending money (if it's still got any value) or even food and clothing parcels. It might even be in the Army's best interest to provide such packages to soldiers, even supplying the transportation for them back to their families - a bit like a reverse care package.
A happy soldier unworried about their loved ones is after all much more likely to stick around than one who's family is starving, in danger, sick, etc.
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