I'd say that it depends. Most of the time, most people do not think much about death anyway. This is regardless of whether they believe in an afterlife (and regardless of what they believe an afterlife to be, if they did believe that there was an afterlife).
On the other hand, the belief or non-belief in an afterlife does affect your current life, because the fact of death, and how to deal with it, definitely does have an effect on your current life.
If you did not believe in an afterlife, for example, then your values in this life will not stem from, say, Christianity or Buddhism or Islam or Hinduism, but must stem from something else. The nature of your belief or non-belief in an afterlife must necessarily also affect your reaction to the deaths of people whom you personally know.
Most days, of course, it will be just as Bob said. Your mind will be on things like feeding the parrot (or in my case, gouramis, tetras, guppies and two very fat plecos).