This is often true to at least some degree with hatred, but not always. Sometimes you dislike a person because they are behaving badly, and not because you are projecting your own bad middot onto them.
And yes, it’s true that the main root of overtly expressed Jew-hatred is our own sins.
Our sins sow din in Shamayim. Eventually, the measure fills up and we start to see the harvest of the negative consequences of our behavior. In His Great Mercy, Hashem usually brings the dinim about gradually in order to give us expansive opportunity to do teshuvah and sweeten dinim.
But the manifestation of Jew-hatred reflects on the Jew-hater.
For example, Nazis accused Jews of being bloodsuckers, vermin, swine-hounds, and trying to take over the world.
But who really shed & sucked out tremendous amounts of blood, including draining Jewish women of their blood for Nazi use (as described in Rav Avigdor Miller’s A Divine Madness)?
Who really behaved like disgusting predatory vile animals?
Who was really trying to take over the world?
The Nazis, of course.
Yet they accused us doing what we would never even dream of.
The Mirror of "Dual Loyalty"
For example, there is some pretty convincing evidence (albeit not yet total proof) that she married her own brother on paper in order to help him immigrate.
In other words, she committed immigration fraud & broke the country’s law out of loyalty to her brother. (Not to save his life or anything, but just to give him a leg up.)
This also violates the 7 Laws of Noach, which include stealing, which includes ganeivat hadaat (i.e., fraud).
That’s also loyalty to the idea of tribalism, which is a most un-American quality.
Furthermore, she has demonstrated much allegiance to her religion, which is not compatible with the American values stated in the Constitution.
While her religion did borrow some precepts from the Torah and Mishna, it is not tacked on to the Tanach as Christianity is. Rather, it retells some of the authentic stories with pro-Yishmael distortions within a whole hodge-podge of its own primitive tribal value system.
But ideals like every human being made in Hashem’s Divine Image, the 10 Commandments (don’t steal from ANYONE regardless of their religion, love thy neighbor, don’t murder, etc.), and so on, are Torah values that found great popularity worldwide and formed the basis for American law.
But her religion promotes self-centered values and coerces a dhimmi status onto those who refuse to convert.
Sure, some of her co-religionists aren’t particularly religious. It’s not necessarily the religion but how people practice it. So those types pick and choose what makes them comfortable and ignore the uncomfortable parts. But this smarmy Congresswoman is very dedicated to her own religious principles and to the tribalism of her culture of origin—even though all this solidly contradicts American mores and even the Constitution itself.
For example, via CAIR, she is also fund-raising for the extremely bloodthirsty & very anti-American Hamas.
And if that’s not dual loyalty—and dangerously dual loyalty—then what is?