Login button and registration form

Hello, team!
I’m still trying to properly configure login button and registration form. At the moment, I see that I have 2 different registration pages: a standard WordPress registration page and the second one is BuddyPress registration page. I would like to leave only one page of BuddyPress, as it has more comfortable and good design. So I need to leave the “Login” button and remove the “Sign up” button.
But the main problem is that after registering, I cannot log into my profile by clicking on the profile icon. I just have a separate tab in main menu – My Account. This is very inconvenient in mobile version, because it is not at all obvious to the user that he should find his profile entry in the main menu. Is it possible to make a profile icon as an active button for profile entry or to add profile button to the icon menu?

Link https://krdmama.ru/