It can’t have been easy moving to an entirely different culture as a teenager and a time you were forming your own identity. It sounds like your parents were strict and that it created obstacles trying to fit in. It would be a huge change and incrediby difficult.
You’re not wrong for wanting to do what feels right for you on this journey navigating your identity and two cultures.
I don’t think you should have to feel obligated to embrace your heritage.
I am half Italian and although my Mother was born in Australia she speaks Italian and her parents came here in their 20’s 30’s.
In saying all of this, my Italian heritage is something I can either use or not use. I don’t have an Italian name, I have an Aussie accent and so forth.
There was racism here even in my Mother’s generation. I don’t know if there is racism now because I don’t obviously seem Italian.
I will also say that the Italians my age that move here don’t consider me or people like me as ‘real Italians’ and when my Mother goes to Italy, despite speaking the language she isn’t considered a ‘real Italian’ as the dialect has changed etc etc.
I guess my point is that you aren’t crazy for wanting to just embrace a new culture snd blend in with your daughters. People will tell you it’s important to hold onto heritage and culture and character building - usually people that have a positive experience or perceptions and don’t have your set of experiences or feelings.
I don’t think you should feel bad. Life is short, it’s your life and you’ve made sacrifices to settle and thrive in a new culture, and even have a family here maybe you just want to feel 100% part of it & it’s symbolic for you.
A name is important too there’s research hirers judge foreign names on resumes. Nobody would force you to wear a burka and show the world you’re Muslim if you wanted to dress in Boden instead & blend so why judge you for wanting an English name.