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It actually is, and this is why there are separate judicial, executive and legislative branches to put those checks and balances on each other instead.
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Your argument is that if Congress passes a law that says the military can summarily execute non-Catholics, the military should have the ability to do that, i.e. the courts or the public shouldn't stop them?

> Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the Government for a redress of grievances.

> No person shall be held to answer for a capital, or otherwise infamous crime, unless on a presentment or indictment of a Grand Jury, except in cases arising in the land or naval forces, or in the militia, when in actual service in time of war or public danger; nor shall any person be subject for the same offense to be twice put in jeopardy of life or limb; nor shall be compelled in any criminal case to be a witness against himself, nor be deprived of life, liberty, or property, without due process of law; nor shall private property be taken for public use without just compensation.

Example chosen specifically for its unambiguous unconstitutionality.

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No, not at all. How did you get "the courts shouldn't stop them" from "that's why there's a separate judicial branch to impose the checks and balances"??? That's literally the opposite of what I said.
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> The DOW should (and does) have ability to do anything and everything that Congress has said they can do.

> Me: That's not how it works.

> You: It actually is

Moreover, regardless of what the courts do, the military still shouldn't execute a law like that, because they too have the ability to refuse to violate the constitution even if Congress tells them to.

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