Does anyone know a way that we can place our SNMP messages in with our syslog? That way we could correlate our SNMP traps with our syslogs.
No you can not do that, snmp traps are sent in an snmp format to an snmp server. The console can not display you those headers and the content of the snmp message.
But, traps are triggered by events that can be seen on the syslog usually, depending what events you want to monitor.
Another thing you can do is generate SNMP traps for RMON events for example if cpu is above xx%. That will create a syslog messsage that is also encapsulated as SNMP trap.
Also, EEM can generate syslog messages for certain actions on the router.
But to see the snmp message itself, only a packet capture or the receiving snmp server will show it to you, not the syslog message.