The standard WIX Bootstrapper Application (WixStdBA) does not support this, you will have to customize the standard application code to acheive what you are looking for.
Instead of editing the stdba, you can take a look at the WIXEXTBA project in codeplex: WIXEXTBA. This project has already included some of the features that you are looking for.
To edit the standard BA at a high level you have to follow these steps:
InstallCondition attribute can be used to control whether a package should be installed:
<MsiPackage Id='MsiName' InstallCondition='RadioButton' SourceFile='\msiname.msi' />
Define your "RadioButton" variable:
<Variable Name='RadioButton` Value='1' Persisted='yes' />
Now define a relationship for your RadioButton to UI in the wixstdba. You can do this by overriding the Theme file and adding radiobutton to the Options page that use RadioButton as the @Id of the control.