(i use "republican" because "GOP" annoying me. Dem are older than rep !)
As someone who considers the GOP the linear heirs to the Federalists (I like to focus on the objective as opposed to the means to achieve such), and thus that isn't the case. That gives the GOP a three year advantage, maybe five.
Also, it should be noted that most modern day Democrats want nothing to do with the Democratic Party pre-1932 (in some cases pre-1992) and that is only emphasized by the fact that so many of them are actually wealthy Republicans who find it improper to be associated with the riff raft of bible thumping gun owners that the GOP has catered to these past thirty years. Many of the rest are children of Republicans (Hillary was a Goldwater girl in 1964 from a GOP family, Al Franken's family were Republican until the CRA).
It must be remembered that the three biggest determinants of Party prior the 20th century were income, ethnicity and geography and that is why you had splits in both parties in the first half of the 20th centry followed by ideological polarization in the second half and beginning of the next.