How did the Syrians contribute to the Diaspora?

The Syrians exiled the Israelites to the Kingdom of Judah.
The Syrians forced the Israelites to revolt and seek freedom.
The Syrians destroyed the Temple of Jerusalem and the city.
The Syrians outlawed Judaism and forced the Israelites into exile.

The information you provided seems to be inaccurate. It was actually the Assyrians, not the Syrians, who played a significant role in the Israelite diaspora. The Assyrians conquered the Northern Kingdom of Israel in 722 BCE and forcibly deported many Israelites from their homeland. This led to the scattering of the ten lost tribes of Israel, and they became assimilated into other cultures, creating a diaspora. The Assyrians did not target the Kingdom of Judah, destroy the Temple of Jerusalem, or outlaw Judaism. These actions were carried out by other empires, such as the Babylonians and Romans, at later periods in history.