[10] Mihok grew up in Greenwich Village and lived in the artist community Westbeth on Bank Street.

While attending Bronx High School of Science, where he played baseball as a middle infielder, Mihok joined CityKids Repertory, and appeared in the short-lived TV show, CityKids, which featured local New York child actors and Jim Henson's The Muppets.

Mihok also attended the Professional Children's School in Manhattan with best friend, actor Donald Faison.

In 1996, Mihok appeared in director Barry Levinson's film Sleepers, which was notable for its depiction of sexual abuse.

[10] In 1998, for Terrence Malick's Thin Red Line, Mihok said he spent an intensive six months working on the film,[14] with the amount of footage constituting a starring role, but during editing was reduced to an ensemble part as Private First Class Doll.

[10][15] In 1996, Mihok was a featured regular in the role of Joey in the Rhea Perlman CBS sitcom Pearl.

[13] In 1999, he appeared on The WB series Felicity, where he portrayed Lynn, a competitive swimmer, in multiple episodes.

He has been featured in roles in films such as The Day After Tomorrow, The Perfect Storm, I Am Legend, and Silver Linings Playbook.

[22][23] For the show the cast works out at the Santa Monica, California boxing gym Wild Card West with boxer Rob Garcia.

[30] In 2017, Mihok appeared in the independent film, The Girl Who Invented Kissing, as Victor, a man who becomes mentally disabled after being in a car accident.

[34] In 2004, Mihok appeared on Sicilian-Puerto Rican New York-based rapper Sabac Red's record Sabacolypse: A Change Gon' Come, on the track "I Have A Dream."

[35][36] For the 2005 movie Green Street Hooligans, Mihok wrote the title track "Test of a Man."

During this time he also collaborated with Daniel Freedman, a jazz drummer, percussionist, and composer on various music projects.

[38][39] Members of Diz and the Fam are Mike Choi, Kenny Echizen, Justin Frazier, Sharlotte Gibson, Morris Hayes, Joel Hellman, Brett Nolan, and Elliot Yamin.

Mihok was named after writer Dashiell Hammett, the author of The Thin Man, The Glass Key and The Maltese Falcon.

[10] In 1997, Mihok met Alanis Morissette through mutual friend Leonardo DiCaprio during a trip to Cuba.