You can't add a field to the right side of the registration form. You're adjusting profile positions, not registration positions. Registration is displayed as 1 row of tabs, step by step (1 row), or flat field after field.
You'd need to write some sort of custom CSS to probably float fields, etc.. Each tab on the registration form is separated by their own DIV though. So lets say you've 2 tabs on the registration page that you want side by side you maybe able to accomplish this using the below CSS for example.
Code:
#cbtf_11,
#cbtf_20 {
display: inline-block;
width: 50%;
float: left;
}
#cbtf_20 + * {
clear: both;
}
The 11 and 20 are the tabs ids.