Q.Are climbing black-eyed Susans attacked by Japaneses beetles?
I am looking to replace my morning glories with climbing black-eyed Susans on trellises.
The Japanese beetles relentlessly attack my morning glories.

You've heard the term "Never say never". I have neither heard of or seen Japanese beetles attack Thumbergia, aka black-eyed susan vine. I do get them on my calla lily and perennial hibiscus, although not as badly as on the roses. The following article has some most loved, most averse plants regarding problems with Japanese beetles. It also goes into detail on control measures. Treating your lawn for grubs may help a lot. I have heard of gardeners resorting to hand-held vacuums to gather the beetles. Maybe that isn't as distasteful as flicking them into a pail of soapy water but be sure to empty and maybe wash out the vacuum container before taking it back into the house. https://entomology.ca.uky.edu/ef451