I tend to avoid fast food in general, but I try not to orient my life around actions (or avoiding actions) that are unlikely to have any impact, especially if they involve spending more of my own energy.

Avoiding Chik-Fil-A at all costs: primarily affects me.

Being willing to frequent a Chik-Fil-A because a friend somewhere else on the political spectrum enjoys it: potentially opens an opportunity to talk.

Most of my family and their circles fit that latter description, so this is not a hypothetical. Any chance of influencing them is actively harmed by choosing/avoiding fast food based on tribal allegiance.

None of this should be construed to mean that I find their leadership team and public stances acceptable.