If Mexico had military bases hosted in the autonomous region within our borders where the Mexican immigrants live, and that region came under threat due to a revolt in D.C. that forced Obama out of office, then yes, I would say they too have a reason to saunter in peacefully to show they’re willing to protect their people if need be.
No, Mexico (in this situation) can stay the hell out. What is this, Foreign Reconquista, or Free Republic?