This happened to me a decade ago (not in the US), and I was surprised to find that every bank in the country had similar provisions in place. I'd be surprised if yours doesn't too.
"Are null or void, Contractual clauses relating to the supply of products and services that [...] imply a waiver or provision of rights."
Access to justice being a right, arbitration clauses that forbid the consumer to go to the judiciary system are not valid. They can offer it, but not force it.
The main thing is any company can start denying you service whenever they want as long as it's not for a protected reason, and then it's up to you to prove in the court of law (or arbitration) that they didn't specifically screw you over in any particular way, which is usually not worth the hassle.
Like, can a bank legally put that they can close account without notification in their T&C? Isn't there a regulator that would control these and fine the banks?
The binding arbitration clause (or privatized justice system) is another thing that I can't believe the US population never rebelled against...