Did the Roman Empire have a shared identity ?

by sammylasagnaa

I have read that the EU is comparable to the Roman Empire in the terms that it had a shared currency, language, freedom of religion and free movement. Did the Roman Empire try to work towards a shared identity like the EU and was there a struggle to do this like we see with the EU today ?

Holy_Shit_HeckHounds

Here is an answer by u/Astrogator that discusses this general idea (albeit without any comparison to the EU)