Well they are done. FIOS is installed and everything is back to the condition it was prior to the Verizon installation that began last Friday.
They sent out their technician who understood networks.
I told him what I thought was wrong and he was not pleased with the other Verizon technicians who have been involved in the process; including the various people I talked to at their tech support center...
I was basically right and he was able to fix it fairly easy...
To make a long story short, they installed two routers and they had them selected to use the same IP address.
The technician today turned off the wireless portion of the new router and then changed the IP settings so that each Router had its own IP address.
He then "flushed" some setting (DHN or DHC) and that part did not make any sense to me...
My system works again and life is good.
They shut our business down for most of Friday, all weekend, and most of Monday.
I would like to thank AWB for offering to send over a technician to fix it. I was almost to that point.