If we start using Open Source as a political weapon, we've let the genii out of their bottles, and can never put them back - we will have forever changed how non-developers use Open Source.
Projects could then start asking things like "Are you pro-life?", "Are you pro-choice", "Do you support impeachment?", "Do you support making America great again?".
Taken to the extreme, projects could become Pro-X and their stance used as campaign advertising fodder (e.g., Apache powers X% of the world's web, and they stand behind candidate Y), users choose a project not because it is the best technically or fits their need the best, but because it supports their favorite cause, or because it echoes their favorite rallying cry of protest.
We would also ensure Open Source will not, can not, be used on government programs. Government programs are not allowed to show favoritism to any vendor or support any political cause or candidate. If a specific Open Source project supports a particular cause or candidate, then choosing to use/contribute to that project could be construed as favoritism, and many program managers will shy away from even the hint of the appearance of favoritism.
Please do not support OSOS, or anything like it. Please do spread this caution far and wide.