Has "mother" become politically incorrect?
Solution 1:
Here are the usage stats from the Corpus of Contemporary American English (number of instances per million words, by context):
SPOKEN FICTION MAGAZINE NEWSPAPER ACADEMIC
mother 281 939 287 253 134
mom 125 204 102 59 6
And now the same stats sorted by year:
1990–1994 1995–1999 2000–2004 2005–2009 2010–2012
mother 361 413 382 359 353
mom 58 94 103 122 139
While we're at it, for a more complete picture, let's also check the Corpus of Historical American English:
(X axis: year, Y axis: incidences per million words)
What we can see is that mom has indeed been gaining ground, but it's nowhere near surpassing mother.
And if you think that mom is more politically correct than mother, you must be forgetting "your mom" jokes.
Solution 2:
Mother is not politically incorrect. Mom is just a shorter, friendlier term for the same person.
Consider the organization Mothers Against Drunk Driving. They're political, but certainly not incorrect.