Yes, there will still be problems, yes, there will ALWAYS be people who are willing to cause physical violence to get their way, but building interpersonal relationships is always the best way to work towards reducing problems.
No. Many people are just rabidly, abjectly bigoted, reactionary fucks. And access to information tools only tends to exacerbate it.
If you ever lived in one of those third-world countries, you would know that the middle-class, relatively affluent (ie exactly the people a westerner can relate to) are the ones that are falling for all that conservative or revolutionary trash. In Afghanistan, that's probably the 1.5 million with access to the internet.
You need solid bourgeois values (foremost hypocrisy and intelectual dishonesty) and LOTS of free time to ingurgitate the amount of bullshit needed to be able to embrace any ideology.