Prepare the tomatoes: Core the plum tomatoes. For easier peeling, you may blanch them briefly in boiling water, then transfer to an ice bath before peeling and roughly chopping.
Sauté aromatics: In a saucepan or large skillet, heat 2 tbsp. canola oil over medium heat. Add the minced garlic, minced jalapeño, and chopped yellow onion, cooking until softened and fragrant, about 5-7 minutes.
Cook tomatoes for sauce: Add the chopped tomatoes to the pan with the sautéed aromatics. Cook, stirring occasionally, until the tomatoes break down and soften, about 10-15 minutes.
Blend the sauce: Carefully transfer the tomato mixture to a blender. Add the fresh lime juice and blend until the sauce is smooth. Season with kosher salt and freshly ground black pepper to taste.
Simmer the sauce: Return the blended sauce to the saucepan and simmer gently over low heat for 10-15 minutes, allowing the flavors to meld. Keep warm while you prepare the remaining components.
Fry tortillas: In a large skillet, heat about 5-6 tbsp. of canola oil over medium-high heat. Fry each corn tortilla briefly until lightly crisped but still pliable, about 15-30 seconds per side. Drain excess oil on paper towels.
Fry eggs: In the same skillet (adding more oil if necessary), fry the eggs, two at a time, until the whites are set and the yolks are still runny. Season the eggs with salt and pepper.
Assemble the dish: Place two fried tortillas on each individual serving plate.
Add sauce and eggs: Ladle a generous amount of the warm tomato sauce over the tortillas on each plate, then carefully place two fried eggs on top of the sauced tortillas.
Garnish and serve: Garnish each serving with pickled jalapeño slices and serve immediately.