I wanted to know why is it that all non-hasidic Ashkenazic chareidi Jews are call "Litvish," a term which means Lithuanian. Why wasn’t Poland chosen which many more Jews can trace their roots to? Isn’t it a falsehood to say one is Litvish when one isn’t?

Certainly not all Ashkenazim are Litvaks. Probably the misuse of the name is due to the fact or perception that so many poskim leart in Luthuanian Yesivas and standard Ashkenazi psak is called Litvish. However I'm not sure if this perception would stand up under rigorous historical analysis.