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Soldiers don't have the rights of regular Citizens and fall under the Uniform Code of Military Justice.
It's already prohibited to have extremist tattoos ... If there is any question as to the acceptability of a tattoo or brand ...
The soldier is also warned to have it cleared through their Unit Commander first.
Should a soldier be found non-compliant with the Article, their commander is required to send them to counseling.
After counseling, the soldier can opt to have the tattoo surgically removed, and the procedure scheduled by their commander.
Should the soldier opt to not have the tattoo removed, the case is passed on to the Base's O6 Commander for prosecution.
It is likewise in violation of the Article for the soldier to attempt to cover the Tattoo with clothing or a bandage ...
In order to avoid being discovered or acknowledged as being non-compliant with the Article (AR 670-1 Para 3-3 ~Tattoo, Branding, and Body Mutilation).
Edit;
I should add that the soldier will also probably suffer additional charges under the UCMJ such as:
Article 15 - Non-judicial punishment by unit/base commanders to include restrictions to base and loss of pay.
Article 32 - A hearing to determine the desire to prosecute further judicial matters.
Article 134 - Conduct Unbecoming A Soldier
Article 91 - Insubordinate Conduct
Article 77 - Destruction of Government Property (for getting the tattoo and it having to be removed)
Pretty much whatever the **** they can think of if you piss them off ...
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