What? There sure as hell was!
THAT was the time when an ideological, philosophical, and economic switch was happening to the parties, which lead to a wholesale rejection of the GOP due to Hoover's (and the bankster) policies. There were a number of demographics like AAs, who were still Republican (like my politically-active great-great-uncle) due to Lincoln, who were being heavily recruited by northern Democrats.
The divisiveness leading up to a split included what was going on post-WWI, with the agitation from the Suffrage Movement (remember that?) and then later with the Temperance movement (the equivalent to the "Mom's (against) for Liberty" ) the latter triggering that "minor" event that caused the passage of a Constitutional Amendment - PROHIBITION! 
THAT Amendment was finally repealed with another Amendment under FDR in 1933.
Did you forget about all the immigration and anti-immigrant fervor in the 1930s?
What goes down in infamy was the U.S.'s refusal to allow the S.S. St. Louis, holding almost 1000 Jews fleeing Nazi Germany, to dock. Despite our getting involved in WWII with the 1941 Pearl Harbor incident, we were in the background harassing and blockading Japanese ships in the 1930s, all while the war was already underway in Europe in the 1930s (leading to piles of people leaving Europe to come here).
During the "Dust Bowl" (remember that? No neither you nor I were born but my parents were
), you had untold numbers "migrating" within the U.S., many being harassed and exploited (see "Grapes of Wrath" ).
The only difference between back then and now is that back then there was no "television", "cable", "satellite", or "internet" to magnify it. But the same kind of crap was going on, notably ethnic and religious clashes (particularly Protestant vs Catholic).
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