"My claim? Names of Jameses, through historyspeak..." Rhymes with 'Jimmy the Greek': Constrained Nonsense

My claim? Names of Jameses, through historyspeak,
in due time wind up rhyming with ‘Jimmy the Greek.’

Who is James, King of Scotland, but Jimmy Antique?
Who is Jimmy Durante but Jimmy the Beak?

Isn’t James Joyce the novelist Jimmy Oblique?
Ain’t the Good Book’s James Lesser just Jimmy the Meek?

Isn’t Bond…James Bond…aka Jimmy the Chic?
(As for Susan Saint James, ain’t she Jim So-to-Speak.)

Who are Jones, Beam and Watt? Aren’t they Jimmy the Clique?
Who’s the Godfather (James Brown) but Jimmy the Shriek?

Isn’t James Beard the chef Jimmy Bubble and Squeak?
(When he’s sautéing onions, he’s Jimmy the Leek.)

Isn’t James Earl Ray actu’lly Jimmy the Bleak?
Shouldn’t teamster James Hoffa be Jim Up-the-Creek?

Isn’t James the Fat (Mor Stewart) Jim Chubby Cheek?
Harvard’s James D. G. Wood? Who but Jimmy Critique?

Jimmy Carl Black? Who but Jimmy the Freak?
And James MacNeill Whistler’s just Jimmy Technique!

John Lennon’s real name? Jimmy Eight-Days-a-Week.
(And somewhere there stands a James taking a leak.)

In Melbourne, ’07, there’s Jimmy the Streak.
Isn’t fashion’s James Galanos Jimmy Boutique?

(Jamie Harris the glass artist’s Jimmy Lalique
and each blackbird you see might be Jimmy Cacique.

Some note: “Jimmy Marlu’s not Jim Martinique,
but I think Lizha James might be Jim Mozambique.”

Jesse James assumes names: ain’t one Jimmy the Sneak?
And the West’s Edwin James: ain’t he Jim of Pike’s Peak?

Flautist James Galway passes as Jimmy the Squeak.
Author P. D. James has to be Jim Hide-and-Seek.

(Or perhaps P.D.’s actu’lly Jimmy Mystique.
Jimmy Shergill of Bollywood’s Jimmy the Sikh.)

Isn’t James Earl Jones oftentimes Jim Vaderspeak?
Surely Javans are fond of their Jimmy Batik!

And there’s, somewhere, some Arab called Jimmy the Sheik.
(None are easy to find. Still, to find you must seek.)

Isn’t Baldwin, occasion’lly, Jim Fit-of-Pique?
James Kisiki of films: Jimmy Diabolique?

Dennis James, bodybuilder: not Jimmy Physique?
(Ain’t Ezekiel aka Jimmy the Zeke?)

Where’s the card-playing James known as Jimmy Bezique? 
One more James whose geek name rhymes with ’Jimmy the Greek.’