One possibility.
philistine
/ˈfɪlɪstʌɪn/noun: philistine; plural noun: philistines
- a person who is hostile or indifferent to culture and the arts.
I am a complete philistine when it comes to paintings
adjective: philistine
- hostile or indifferent to culture and the arts.
a philistine governmentOrigin
early 19th century: from Philistine, originally with reference to a confrontation between university students and townspeople in Jena, Germany, in the late 17th century; a sermon on the conflict quoted ‘the Philistines are upon you’ (Judges 16), which led to an association between the townspeople and those hostile to culture.
Oxford Dictionaries
Also - barbarian - a brutish or uncultured person.
EDIT
I notice that others have suggested visigoth and boeotian respectively. I don't think either of these have much force in English. They carry no association with brutishness for most of us. Philistine and barbarian however will be recognised by any literate person.