New Jersey:
Springsteen, Sinatra, Edison, Einstein
I know that’s two singers but screw it.
I know Einstein just spend the last years of his life in Princeton but we are claiming him.
Edison wasn’t born here but he is the Wizard of Menlo Park.
Hm, edgy.
Mind you, if I had my way it would just be the Butthole Surfers.
OHIO
Ulysses S. Grant, Pete Rose, Martin Sheen, John Lithgow
Born, died and was buried in New Jersey. Cleveland is ours. Still didn’t make it on my mountain. But he was on the first draft.
George Clinton from Parliment Funkadelic? Sorry he is from Plainfield NJ. 
Wisconsin (my home state):
- Politician (and leader of the Progressive movement) Robert LaFollette
- Harry Houdini (grew up in Appleton)
- Frank Lloyd Wright
- Vince Lombardi (yes, I know, born and raised in New York City, but he made his lasting mark in Green Bay)
Hey, it’s your Mt. Rushmore, but if it were me, I’d find room for John Glenn or Neil Armstrong somewhere in there. 
Sandra Day O’Connor, Bruce Babbitt, Barry Goldwater and Alice Cooper.
That’s AZ, folks.
Another MA idea
John Adams, John Hancock, JFK. John Naismath
Abraham Lincoln - POTUS
Jane Addams - Social Worker
Carl Sandburg - Poet
Benny Goodman - King of Swing
For Kansas I’m having a hard time choosing. It depends on what you think is important.
Dwight D, Eisenhower: Allied commander in WWII, President of the United States.
Clyde Tombaugh, astronomer
Karl Menninger, psychiatric pioneer
Georgia Neese Gray, first female Treasurer of the United States,
Kansas doesn’t get a Mt. Rushmore. You know, because you have to have mtns. first. 
The idea of Alice Cooper on Mt Rushmore makes me happy.
They can have a Corn Rushmore.
Georgia:
Martin Luther King
Jimmy Carter
Margaret Mitchell
Hank Aaron
ETA: probably replace Jimmy with James Oglethorpe.
Virginia: we already have half of the actual Mt. Rushmore! I’ll add James Madison and Patrick Henry to Washington and Jefferson.
(Though I haven’t lived in VA in >15 years, I’ve still spent far more of my life there than anywhere else, and still think of it as home.)
Despite the claims of racism, Junipero Serra should be on here. And probably Thomas Starr King, who worked hard to prevent California from seceding and declaring itself neutral during the Civil War.
Maryland: so many different ways to go!
John Wilkes Booth, Spiro T. Agnew, Alger Hiss, Dr. Samuel Mudd
Johnny Unitas, Brooks Robinson, Eddie Murray, Cal Ripken, Jr.
Frederick Douglass, Thurgood Marshall, Harriet Tubman, Zora Neale Hurston
Francis Scott Key, H.L. Mencken, Upton Sinclair, Nancy D’Alesandro Pelosi
Alaska:
William Egan: first governor and architect of the Alaska Constitution
Bob Reeve: Famous pioneer glacier pilot and creator/owner of Reeve Aleutian Airlines
Joseph Juneau: co-discoverer of the Juneau gold strike
Sydney Laurence: world famous artist who captured the grandeur of Alaska on canvas