The Constitution does not distinguish between U.S. and non-U.S. citizens except with regards to qualification for the Presidency and incorporation via the 14th amendment.
Are you really suggesting that enemy combatants should be afforded Constitutional rights?
The Constitution was written with all the exceptions it needs. For instance, the 5th amendment reads:
No person shall be held to answer for any 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 offence 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.
So yes - obviously, the Founders thought of all the exceptions they wanted having to do with war, that's why they wrote them.
And the UCMJ is clear on the issue. If one assaults a "person" - one is guilty of assault. It doesn't say "persons other than enemy combatants" or "U.S. citizens", it just says "person".
Not to mention the obvious fact that making false official statements isn't a crime with a terrorist as a victim at all - the United States People are the victims of that crime. I fail to see why you think it should be OK to lie to investigators.