Queso Fundido With Roasted Poblano and Lime Sauce

poblano peppers

small onion, finely diced

garlic cloves, minced and divided (1 for the cheese and 1 for the puree)

canola oil (or other neutral oil), divided (1 for the cheese and 1 for the puree)

grated Monterey Jack cheese

grated Oaxaca cheese (mozzarella works well here too)

Juice of 1 lime, plus more to taste

Kosher salt

Fresh flour or corn tortillas, for serving

Cilantro leaves, for serving