There's a sentence in the article that is a bit misleading (or at least unclear from the phrasing):
"AAVE speakers use 'be' to mark a habitual grammatical aspect not explicitly distinguished in Standard English."
Standard American English does have explicit ways to mark habitual aspect[0], however it lacks one for the present tense (which is how habitual "be" is used in AAVE). Personally, I think Standard American English would benefit from adopting it.
As an aside, I've never understood that joke about Clinton. Was it a reference to something in particular?
[0] For example there is "used to" for the past tense, "would" for the past tense, "will" for an unspecified time, and a combined form with the present progressive:
I used to go to the beach every day.
I would often drink while lounging in the sun and get sunburnt.
I will make the same mistake again I'm sure.
Every time I do, I'm increasing my risk of skin cancer.