No, you don't have that iphone. VZ iPhone 4 is different with newer antenna and it does not drop calls when you don't hold "the Steve Jobs way".

Antennas are slightly different, to avoid "grip of death"
Silent button is moved a bit
"Internet tethering" vs. "personal hotspot"
While both phones can be used — at extra service cost — to provide Internet access to your computer, only Verizon's is offering a personal hotspot, enabling not one computer but up to five devices to access the phone's Internet connection, via Wi-Fi.