If I have to run a thin thread of politics through my product from beginning to end I will. It won't be the first time a product is tied to a political identity, and it's often beneficial to do so.
Heck, I'll even make two similar products and tie each to a different political party, so everyone can buy the product that matches their political view. My products are political statements, and 1% of all profits go to political causes!
I'm not faking, if you give me an incentive to let my political opinion seep into every aspect of my life, I can do it; even without incentive I find it hard to avoid. Being able to spam social media about my product without punishment is a pretty big incentive.
If I genuinely believe that the most important thing people can do to support <politician> is buy my product, that is still far - far! - from the most extreme political views out there.
Someone out there is pushing their product as a supposed political view, you drag them into court and find that they actually believe it, and they also genuinely believe the world is flat and the government is run by lizard people. What are you going to do? All their speech about those things is now protected.