Really now, moderation is determined by specific guidelines set in place. It's scenario dependant. There's no right or wrong answer when it comes to this, well mine is 100% right, but that's besides the point.
How I would moderate any forums, I would let the first guy have his fan boy rant, but edit his post so it doesn't look like he has no idea what the CAPSLOCK key does. People with a right mind will put him in his place for his post, so let the boy troll.
The second guy however is a winner. His post gets removed for flaming a personally specifically, not to mention promoting bodily harm. Real champ there.
Being a parent is a job, is that not supposed to be fun? You seriously don't have a clue. I hope Wii_Gamer chooses someone with a bit more class than you, you're obviously not fit to be a mod here.
That's better but still not quite up to par from what I used to do to paying customers for doing the same thing. (I was one of the nicer mods)
EDIT for your edit: Being a parent is a job. I assure you it's fun. But is it still fun when your daughter comes home knocked up stoned out of her mind on crystal meth? (being a mod has ups and downs... well really it has no ups. Just downs... you can chat as a member. Being a mod only has downs)
EDIT2: Actually it does have a up. You have new viewers looking up to you.