Looking at American dogs some of them have so many titles the letters before and after their name are longer than the name itself. If one imported a multi titled dog or had a puppy sired by one would one list all the titles on show entry forms?

I would. 

I do have enough trouble with a dog I imported with friends when I put:

Ch/Int//Lux/Bel/Ned Ir Ch and add JW ShCM (Imp USA) on the end of his name for his daughter's sire details.  His actual name is 3 words.

There aren't many conformation(showring) titles available in the US,others will be activity titles like tracking, agility etc.
Multi titled dogs are usually from being shown around the world.

I don't. I have two dogs I show whose sire is CH, Dutch CH, German VDH CH,
German CH, Swiss CH, Bel Ch & International  CH plus ShCM and I simply put him down as "Multi Ch" and this has never been a problem.

I think that is what they refer to as a "high quality" problem to have! :-)

Not a problem I have unfortunately. I just  wondered how it worked.