There is a pop song you can listen to, online, called "Agnostic Jihad".

And you can go to a website called "Agnostic Jihad" that talks about all religions being human constructs ("Agnostic Jihad: Stubbornly Refusing To Define The Undefinable").

You can buy published books with the titles: "Christian Jihad: Two Former Muslims Look at the Crusades" and "Christian Jihad: Neo-Fundamentalists and the Polarization of America" and "America's Secret Jihad" (about mostly the slaughter of black folks by white folks in US history).

Sorry, but if there can be Christian Jihads and American Jihads and agnostic Jihads, in works of popular culture, then no, merely using the word "Jihad" is not the same as using the word "Muslim", which definitively identifies a religion.