As far as I am aware, the so-called Section 230 protections (named after the relevant 47 U.S.C. § 230) apply to Amazon reviews and so Amazon can not be sued here. You need to sue the writer of the review in a competent jurisdiction and winning that lawsuit will result in removing that review.
For example, this case explicitly says:
the Virginia Supreme Court agreed. If Perez’s reviews prove to be defamatory—if they are false and they injured Dietz’s reputation— Dietz can collect monetary damages. But he has no right to get the reviews taken down while the courts try to figure out who is right.
Edit: Now that the question was edited... Your hope of finding a court where you can get an order for Amazon or the website operator or anyone to suspend a website is against Section 230. Check Global Royalties, Ltd. v. Xcentric Ventures, LLC, 544 F. Supp. 2d 929 (D. Ariz. 2008) for a very relevant example. Think about it: what would the world become if anyone could take down a web page with a simple email or even a mail written by a lawyer? That can't be.
In other words, you start with
My company is being severely defamed
That's what you say. Who is to determine whether you are right? Perhaps a neutral third party who is well versed in the relevant legal texts? What about calling said neutral third party a court of law?