A person with an FAA logbook, will have logged flight time under DUAL and PIC.
This is not the same as DUAL in India.
This DUAL and PIC logged simultaneously in USA is the same as logging P1 UNDER TRAINING in India or other countries.
Thats it. Simple.
Hence, when someone submits an FAA logbook to DGCA, the DGCA knows that this person has done his/her flying in USA and will hence accept the logbook as it is.
Which is why I again repeat ... There is no problem in submitting your FAA logbook to DGCA.
BUT .. If you still badly want to create another logbook, then buy an Indian logbook and simply log all the DUAL-PIC time in your FAA logbook as P1 UNDER TRAINING or create a column called SPIC. (Student Pilot in Command)