Okay, seriously, you guys are not getting this.
When you apply for service with Verizon Wireless, you agree to let them check your credit. That means that the first thing that happens before you can even get service is that ANOTHER COMPANY (Equifax, Experian or TransUnion) SHARES YOUR INFORMATION with Verizon. This kind of information sharing happens all the time in providing services to you, and is not evil or harmful in and of itself.
What you should be concerned about is whether Verizon Wireless sells your information to other parties that have no relationship with delivering services to you (which they don't) and whether Verizon Wireless has put adequate protections in place to make sure your information cannot be stolen by parties that have no business getting access to it (which they do).
You can read the entire details of Verizon Wireless' stance here: www22 dot verizon dot com/about/privacy/policy/
But here's the pertinent points:
Except as explained in this privacy policy or in agreements with our customers, Verizon does not sell, license or share information that individually identifies our customers, people using our networks, or Web site visitors with others outside the Verizon family of companies for non-Verizon purposes without your consent.
If you purchase services offered jointly by Verizon and one of our partners, customer information may be received by both Verizon and our partner that is providing your service.
It's good if you are worried about protecting your personal information, with the increasing threat of Identiy Theft these days. But you are much more likely to run into problems because of banking at an ATM or sharing your email address with an unscrupulous website than because Verizon Wireless has some of your personal details.
You can get some helpful pointers on how to protect yourself from identity theft at www dot identitytheft dot org/protect.htm