I don't think emotions are anything to be embarrassed about (embarrassment being, in itself, an emotional response - ya dingus).
We all have the same emotional ingredients. We have good days and bad days. Points of strength and weakness. I think one of the greatest sins of our society is that most of us don't share what we're feeling with one another. We're expected to be strong. "Boys don't cry", and all that.
"Ooh... you know your problem? You're too sensitive", or "That's all a bit touchy-feely", said with a sneer.
If we were all a little more open - and society valued our emotions as much as our practical or academic achievements - the world would be a much nicer place.
Yet feelings aren't for nothing. They serve an evolutionary purpose. Fear and anger and love are survival tools. And if you don't believe that... there are even physiological consequences of feelings, which also have practical applications.