Recommend me a right-wing hat

1. Pickelhaube

2. Pith helmet 

3. Topper

4. That thing Liz Truss wore at the Queen's funeral. 

Top hats are not "right-wing", they are the correct headwear for certain activities.

Mr Attlee looked very distinguished in a topper. So did Ramsay Macdonald, for that matter.