However strongly we believe in our own point of view, it is
likely that other people believe equally strongly in their own
point of view.
A danger arises when we try to impose our point of view on others
through insults or violence instead of intelligent discourse. They
are likely to respond with insults or violence too.
There's a word for this phenomena, "blowback". It's describes
consequences to a logical action that is not rational.
For example, a company boss decides that to become more profitable,
he'll cut the number of staff to lower operating costs. This is
logical and his profits increase.
However the remaining staff feel their jobs are threatened and
spend their time trying to make each other look bad so that others
will be laid off if or when the next round of layoff come about.
There is a loss of productivity. Some may feel that they are next
so they lose interest in their jobs and stop working as hard. Still
others feel the company does not care for them so they find other
jobs and leave. Still others believe this shows the company is not
doing well, so they leave, taking clients with them. In time the
company finds itself in real trouble.
This is what's known as "blowback".
Edited for grammer.