Why did the Romans copy the Greeks in almost everything from religion,education and warefare?
because the Romans WERE the Greeks. They had the same GODS (slightly different names but the same ones), the same MYTHS (Odysseus became Ulysses, etc) the same alphabet, the same ARCHITECTURE (who else used columns besides the Greeks and Romans. And THEY got the idea from the Egyptians) the same math concepts, the same clothing…
The majority of Italy at the time that the Romans started to developed into an empire was still under the rule of Greek empire, so as the Romans grew stronger and the Greeks grew weaker the people who became Romans carried on with their Greek ways which slowly got absorbed by the Roman culture. Infact most Roman People carried on speaking Greek & the rulers used Latin as a legal language. I hope that my answer helps.