There would be no religious wars, honor killings, more freedom, no religious leaders abusing their powers, no waste of labor and money on religious things, etc. It may seem that we would be more educated and have better understanding.
Removing the word religion from this excerpt wouldn’t remove any of these problems. We would still squabble over territory, resources, and ideological differences. To give a non-religious analogy: if a time traveler went back and killed Hitler, Germany would still retain all the problems from WW1 and the Weimar Republic that were ripe for a dictatorship.