Nothing's too hatred in this show, but I know Carlton is acting like an idiotic dork, according to Will, but Carlton is not considered a helpless person along the way.

Will made fun of Carlton, because Carlton didn't act like him. He seemed to be the sort of guy who turned his back on being black, by dressing a rich way, talking proper English, etc. However, Carlton knew he was black, he just didn't go around flaunting it. In the frat episode, he sort of mentions that to the jerk frat leader who called him a sell out.
And Will did love Carlton, this was just his way. He never did it with malice.

That was basically the premise of the show, a fish out of water. Will from predominatly black working class West Philadelphia.
And Carlton form a predominantly white upper class Bel Air California that was the conflict of the series. Both of similar age but different life experiences.
But honestly if you aren't black you probably won't understand some of the cultural references or humor.

Carlton suggests they listen to Barry Manilow at an all Black Frat party, and Will makes a save saying he means Barry White.
That right there is a White joke, in two different ways no less.
They call me the Mayor, 'Cause I spend all my days here

Actually no, it was never white jokes. He says "bro" for crying out loud. If anything Carlton acts Spanish, not white.
Jesus Christ

Will really does like Carlton but since they are relatives that are around the same age, he just rips on him. The whole "white" jokes faded out over time though.
"I'd rather lose for what I am than win for what I ain't"
Kacey Musgraves "Pageant Material"

I can agree with this statement, growing up I was raised around white people, Asians, and other races the schools I went to on the military bases was mostly diverse. Since I've been back in the US it seem like I get a little criticized or looked at a certain way for not acting like your typical black person. Black men I met don't really mind the way I am they prefer someone who isn't hood and ghetto, but the females are the worst.

I guess it's because black people or even just people expect one of a different culture to act in a certain way, being the stereotypical way people expect one from that said culture to act

I think the word ya'll are looking for is "stereotyping."

I know that
Talking about race is not racism inherently however

Actually it's just pointing out difference purely due to race. There is a thing such as positive-racism (Black people run faster being an example). And that is the type of racism shown here.
Calling Carlton white because he is well spoken, well educated, and not "from the hood". This type of racism doesn't often stem from hatred (although ignorance is often a factor). In the show it is used just to highlight the social and cultural differences between the characters. Uncle Phil often educates Will on his ignorance when he does this.
If you can't do something smart,do something right

You both are kindergarden level. "I know what you are but what am I"?
Classic.

Where do you get YOUR'S? LMAO

Where do you get YOUR "knowledge"? Clearly you're a moron.

Where do you get your "knowledge"?

Racist is hating someone because you deem them inferior.
Nice try, idiot. You idiots need to go to school

He occasionally says 'bro', and deep down Will doesn't really hate him.
Well clearly he is Hispanic then.
Your racist theories are such a putrid joke.
Peace be your pie.