What are similarities between RTC DS1374 and RTC DS1307
These two parts are dissimilar in many many ways.

The block diagrams alone tell much of the story.

DS1374


DS1307


Similarities are limited to the basic functionality of the I/O pins:


X1 
X2
VCC
VBACKUP
GND
SCL
SDA
SQW


Internally the parts diverge greatly. 

The '1374 simply uses a 32-bit counter to keep track of the passage of seconds. The software that reads the counter has to translate the count into the normal clock date/time components. On the other hand the '1307 keeps track of the individual date/time components as BCD (binary coded decimal) values in individual registers. 

Beyond the basic RTC features the '1374 offers a 24-bit counter that can serve as a WDT (watch dog timer) with an interrupt output and a reset output. 

On the other hand the '1307 offers 56 bytes of battery backed up RAM for user data.

In a simple nutshell - you cannot use common software to support these two parts. The register maps are completely different.