I dont know if you speak for Tourists, but I do have friends who
visit Singapore and commented to me that they find it strange how
rarely they see cops around. Try going to other major cities in
Asia, such as Bangkok and Hong Kong, and see how many cops you can
find on the streets, and yes, in their trains. As for American
cities, well...
It is obviously not tourists who need to get used to seeing cops
all over. It is Singaporeans. I suppose the Singaporean public
needs to be "taught" to get used to this sight, as part of
psychological defence. If Singaporeans get all gittery just bec of
their bigger presence, then what happens will something really
happens, and people start panicking and thinking something big has
happened everytime they see cops around?