2.verbTo force (something) into (a tight space); to squeeze (something) into (a schedule, etc); to exert great effort to insert or include (something); to include (something) despite potent reasons not to.
"His staff want to shoehorn an extra stop into his already packed campaigning schedule."
3.verbTo force some current event into alignment with a some (usually unconnected) agenda, especially when it is fallacious.