You are a guest at an SSPX Chapel.
Since when does a guest have a 'right' to question the host.
As a religious mission order, the SSPX has no obligation to be in your city. They could leave tomorrow without telling anybody.
The diocesan clergy are required to provide locals the sacraments to the faithful, not the SSPX.
As Father Rutledge said: Just please leave. If you don't want to follow the SSPX, please leave (or something close to that).