Out of the loop

Can you show me an example of a hard-leftist shoving their ideology down someone else's throat?

Sure. Last year Biden issued an executive order to enshrine gender transition for children across the entire nation. The vast majority of Americans oppose "gender affirming care" for children. In red states, support is even lower. Biden should have left this up to individuals, parents, and states, but instead decided that his and his party's values should be shoved down the throats of the entire nation.

Are there numerous cases of Leftists driving through crowds or maybe shooting up a synagogue, that I'm unaware of?

Here is one mass shooter. Aiden Hale was trans, and killed students and teachers at a christian school. Aiden wrote a manifesto, but the police are yet to release it.

Here is another. Kimbrady Carriker is a BLM and pride supporting, cross-dressing, mass-shooter.

Here is a "non-binary" shooter.

Here is another trans shooter.

And another.

I fully expect you to play the game of "but they're not REEEEEAL leftists," and I don't care. I'm not claiming that both sides are equivalent. I'm saying that authoritarianism is always bad, no matter where it appears.