Keep in mind: priests possess jurisdiction contigently from their bishop. A priest living five dioceses away from me can not come into my local diocesan parish and start laying down the law to the parishioners. Only the parish priest can do that, and only because he has his jurisdiction from his bishop.
As it concerns the SSPX and Independent priests, none of them have jurisdiction, because none of them are under the jurisdiction of a diocesan bishop (this is not news - not even the SSPX bishops claim any jurisdiction).
In reality, none of those priests should be arrogating any authority to themselves above and beyond the basic respect that is due to their Sacramental Ordination.
But, also in reality, they are the keepers of the Sacraments to which we want access. Unfortunately, that means that if a particular (non-jurisdictional) priest starts throwing his weight around and acting like a bishop, you only have two choices: submit, or find another parish.
If these priests were under the jurisdiction of a local bishop, you could have recourse to the bishop to appeal your case. But that's just not an option in SSPX or Independent chapels.
I guess if it's an SSPX chapel, you might be able to appeal to the District Superior, and failing that, to the Superior General - but that might get you into more hot water than you're willing to deal with.