Absolutely not. Achieving a more American accent does not mean you will lose your culture or your heritage. The focus of accent reduction is not to change who you are, but rather to make your speech clearer and more understandable to native English language speakers.
Both in professional and personal settings, being able to communicate clearly is essential. Do you find that others others ask you to repeat what you have said, or misunderstand you? Do you lack confidence in your speech in meetings, presentations, on the phone, or in social situations? Then, accent reduction training can be helpful.
When you improve your English pronunciation, the focus will be on what you are saying, not how you are saying it.