Regarding the binding: you can't enable or disable it programmatically. It has been discussed several times. See Dynamic Enable / Disable Perspective Query Binding?, for example.
Regarding your radio group: I suggest that it's the wrong component for the job. You're setting a boolean so use either a Toggle Switch component or a Checkbox component as would be done on mobile phone apps, etc. Your users know how they work!
Radio group
Toggle switch.
Less cluttered and you save on real-estate.