By that logic a street fight should also incorporate the hydrogen bomb
MMA is a sport not a street fight. A street fight means a fight that happens on the street and is subjected to all the thousands of factors and variables that can affect the outcome. Such variables and factors aren't present in MMA or Boxing. It's a completely different thing. Which doesn't mean an MMA fighter can't be effective on the street. He can. What it means is that there are variables that might lead a professional fighter to not have the same kind of success on the street that he would have inside an octagon, under several rules designed to protect him.
Now, despite what the BJJ community might have tried to sell to you, going to the ground in a street fight isn't a good option unless you're 100% sure you are in a safe environment, the person isn't armed and no one is gonna attack you while you're on the ground.
The space in which you're in can also have an impact on whether or not your grappling techniques would be viable. If you're in a small and crowded environment, your BJJ might not look so effective.
The conditions can also be a factor. In the street you're not falling and rolling in a soft mat. It's not as comfortable, it's not as safe.
In the street nobody is gonna stop the fight and take a point away if you get kneed in the balls. Just like nobody's gonna stop the fight regardless of whatever your opponent decides to do to you.
And you might say "ohh, but, but, but, whatever he can do to me, i can do to him too". True. But who will be the first trying to get dirty? I'd say it will be the one with less legit weapons. If you're a BJJ expert, most of the time you will be focused on winning using your art. Your first thought ain't gonna be to blind someone or to punch him in the nuts. But, on the other hand, if you feel you have no options, grabbing someone's nuts might be seen right away as a viable option to you.
As you can see "street fighting" is a lot more complex than a combat sport. You can't decide who would win in a street fight just by determining who is a more well rounded martial artist. There are variables that go way beyond pure skill. There are variables that you don't learn how to deal with in a BJJ class.