hello Ulrik - I am certainly no expert on paint, but it sounds to me like removing a coat of paint, if possible at all, would be a lot more work than just having the car repainted. You may find that there are areas underneath the current paint layer that were repaired, such that the original paint is not there. Imagine you would 'strip' the current paint for, say, 80%, and then come across such an area - you would have to have the car repainted at that stage anyhow.
Cees ("Case") Klumper in Amsterdam
'69 white 280 SL automatic