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Yeah, true. 
But you're saying that people are more in tune with theur emotions which I partially disagree with. They are not in tune with them, they let themselves be controlled by them. They aren't emotionally open necessarily but just flat out emotional. 
Which plays into them not being empathetic as they let their emotions formed by their imidiate impressions of [thing] instantly come to a conclusion about [thing] without considering alternative standpoints. 
That's why discussions about political, societal, religious, etc. topics is completely fruitless nowadays. God knows people of all sides on these issues could use a little more introslective, empathy and emotional self control.
Agreed, and it's a very solid description >

I actually agree people are much more focused on themselves and their problems.
I think many people today also judge other any their actions and themselves by their intentions.
They could do the exact same action as someone else…. But judge the other person harshly for it because they think their intentions aren’t “pure” >

People can’t be empathetic if they’ve never been in insert situation. 
So people that can care about the Holocaust, and then claim they have it harder - technically can’t be empathetic. They weren’t in the Holocaust, so they would think they do actually have it harder.
Sympathetic is probably more what you’re after. Difference between “oh I’m sorry, that sucks” which is sympathy; and “I know how you feel” which is empathy. >

People are extremely narcissistic and view themselves and their needs as the center of the universe. >

Agreed, and it's a very solid description >

I actually agree people are much more focused on themselves and their problems.
I think many people today also judge other any their actions and themselves by their intentions.
They could do the exact same action as someone else…. But judge the other person harshly for it because they think their intentions aren’t “pure” >

It’s called being a hypocrite >

People are extremely narcissistic and view themselves and their needs as the center of the universe.