What do you mean by pick and chose? ACLU always has to pick their cases.. they cannot afford to be the nations lawyers nor should they be.
EDIT: Not just speech, but also other basic rights they have stood for, such as legal representation and rights of the accused.
Their response to reforms of Title IX to restore the rights of the accused was to intentionally lift up the rights of the accusers over and above the rights of the accused. Their statement regarding it dishonestly claimed that they were balancing the scales, whereas anyone who has examined Title IX can easily see it leaves the accused without their constitutional rights to due process. [2]
In a similar theme, they inserted themselves into the confirmation process of Brett Kavanaugh, taking a clear side on the issue instead of standing for principles of legal representation and initial presumption of innocence. [3]
There are other recent articles on continued churning against their prior positions, but unfortunately they are behind a paywall and I do not yet have access to read them. I may be able to find other sources later. [4]
[1] https://online.wsj.com/public/resources/documents/20180621AC...
[2] https://twitter.com/ACLU/status/1063456843706585089
[3] https://twitter.com/ACLU/status/1046826766017466370
[4] https://www.nytimes.com/2021/06/19/opinion/letters/aclu-free...