Is it normal to destroy people who get in your way in life?

[Faith No More]

yet nobody can answer that society in contemporary times stresses a personal moral system?

You have yet to provide any evidence that it does.

or are you suggesting the belief in moral absolutes return?

Regardless of whether their basis lies in any sort of actual absolutes, society sets absolutes for moral standards. You may choose to ignore this, of course, but you will eventually be segregated with others that do the same.

most men my age merely determine their personal morals and act accordingly.

Evidence?

Regardless, I highly doubt that people act simply by their own morals. People behave mostly based on the consequences of their actions. Those that choose to ignore those consequences do so at their own peril. For instance, one of these days, when you're out pushing little girls like the tough guy you are, one of those girls is going to have a giant brother that is a black belt in kung fu standing next to her, and he is going to feed your head to your asshole. And since you chose to behave as you wished and ignored the consequences, no one will shed a tear.