The router is picking up DNS servers in a dynamic way from *somewhere*. You've checked your DHCP-Client so that is one place checked off.
Is there a pppoe_out1 client is similar? That has the ability to add dynamic servers. Also check for VPN client's which may also be adding in DNS.
Your MikroTik is gettign an IP somehow from the bridged modem, whether that is by a DHCP client or some other form of IP magic only YOU can show or tell us that by sharing some of your config.
Steve and ALL - The solution was indeed in the Interface. Dig through:
Dial Out - then uncheck "Use Peer DNS"
I then had to change the "Default Route Distance" from 0 to "1" to get anything to resolve DNS.
Since I have DNS enabled on the router, should I add the router IP address to the:
Servers (The list now has two public DNS servers shown)