If the nuts are rusted solid onto the studs and the studs turn than the lamp units are already damaged. The ends of the studs are located in hexagonal recesses in the plastic.
Options:
Hacksaw or bolt-cropper or dremel on the nuts/studs
Remove the glass - it is possible to spring the clips from the front - and then drill the stud heads.
Then get new studs and epoxy them into the rounded recesses in the plastic.
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