Thanks to all of you for your highly appreciated suggestions! Now my head is swirling because of all the informations you gave me...
First thing I recognized is that I have to use thicker battery cables. Now I have to decide if I go the way of originality or of "brute force".
Thanks also to Thomas (aka trauschu) for his PM and offering me any help in sending a starter unit to Germany!
And thanks to Gerhard (aka Sportsman69) for reminding me of the US-Car meeting in Augsburg next Sunday. Funny thing: reading an american website I get the informations what´s going on in my neighbourhood. Augsburg is only a short cruise of 25 minutes away from Munich...
(If I go on like this I will sound like the winner of a Hollywood movie oskar: "First of all I´d like to thank my parents for giving birth to me; then..." )