Regardless of how many bars the display shows, do you have any problems making or receiving calls? Probably not.
I have mine exactly a week now and the signal strength meter acts similar to the way you describe, yet my ability to make and receive calls far exceeds the old Samsung SCH-i760 I just replaced .... and without dropping any either I might add!
Just enjoy the best Samsung phone to date.
FWIW, from the Home screen, hit the Menu button on the left, then go to Settings, (i)About Phone at the bottom of the list, Status, then scroll down to Signal Strength. You should be seeing around -80 to -85dBm.
I think (am pretty sure) that when VZW went for the 4G upgrade it didn't go exactly as planned. They have ISSUES. It will take time to work them out. Of course, they would never disclose this. The 4G signal is not consistent and I am sure they know about it and are working hard to resolve. Just don't expect them to own up to it in public. You WILL get VZW 'moles' on here and other sites telling you how great it works for them. I am in DC and have witnessed the issues on many of my friends phones. All I can say is 4G is not ready for prime time yet.