Operator/value can be pre-determined/selected by field type
For example, a boolean field can be only true/false (yes/no) displayed by a radio button widget, a choice field with e.g 2-5 choices can be "one of" displayed by a multi-select checkbox widget.
For examples, see Django's ticket system:

Django uses trac's "custom" query feature:

Which use a different UI for and/or selection, and also allow grouping by a field, (which can be it's own feature by the way):

@asfaltboy do you know if there are any inflight branches for this, or should we go ahead and start from scratch?
Sorry @mrname, I looked through our branches I have and I don't see any work in progress.
To reduce the work time, I suggest we start by tackling a single (or couple) of field types. For example a "limited choice field" (boolean or below 4 choices) which will render without operator (implicit) and the choices as radio buttons.
Sounds good, thanks @asfaltboy !