Obstacles in life if I partially change my name and gender?

Location: Minneapolis, Minnesota.

Hello. I'm located in Minnesota, but I was born in Venezuela 36 years ago to an American citizen. So my birth certificate ("certificate of birth abroad") is under federal jurisdiction.

If I start the name and gender change process (I'm trans) I don't think it will go through at the federal level. So I might only get a name change but not gender (maybe?), but in Minnesota I could get an ID with the correct sex marker.

Would this be a problem?

Social security, passport, and birth certificate could come back with the right name but wrong gender, but my state ID would (ideally) be accurate.

So I was wondering if this would cause issues with getting married, or getting a mortgage, etc.

Should I not request a gender change on my state ID, so it matches federal documents? (provided they even change my name, who knows...)

Thank you guys! Have a good Friday! 💕