If you really have to fear that, what are you doing to yourself by staying? If your chapel is that accordista/liberal/sold out, you might want to join the expanding list of those who have left the SSPX.
There is such a thing as "a time to leave" when things have become too cult-like or pro-Modernist Rome. If they stop preaching the truth and only the truth, it's time to leave.
I realize it's difficult, because the Resistance is about as developed as my 5-month-old (probably less so). Most places don't get Mass *ever*, including some locations with established, committed Resistance congregations and a permanent, dedicated location for Mass (with some professional Mass equipment!)
Staying at home on Sunday is a big move; not one that I'd ever want to have to make. It's especially harmful for those with young children.