My global stack exchange profile is the way I want it. Can I push this profile to my other accounts?
Your global Stack Exchange site is not editable, and it is taken from the oldest Stack Exchange account you have. In my case, that is Stack Overflow; in your case, it is Programmers.
Just edit your oldest account, which is the one indicated in your global Stack Exchange account, and push those changes to your other accounts.
Anyway, you didn't put information that is visible to other users, in your account. None of your accounts shows anything different from the other ones.
The global Stack Exchange profile inherits from your oldest Stack Exchange profile and isn't editable by itself far as I know.
A site-specific Stack Exchange profile has a "Copy profile to all Stack Exchange network accounts" button at the bottom of the "Edit Profile" page that you can use to replicate your profile on one site across your other accounts. From your profile, click "edit" and you should see it below the "Save Profile" button.