There is at least one problem with Zionist ideology which does contradict Torah.
Have you forgotten that the land is an eternal inheritance? Eternal, Ad-Olam.
(See Me'am Lo'ez, Bereishis, 15:11-21, page 98)
I'll check it out, but.... the Torah and Tanach very clearly state repeatedly that the land is eternally a Jewish homeland. I'll post a few examples, but, there are so many that it would take several posts to list them all.
Gen 13:15
כי את־כל־הארץ אשר־אתה ראה לך אתננה ולזרעך עד־עולם׃
For all the land which you see, to you will I give it, and to your seed forever.
Gen 17:8
ונתתי לך ולזרעך אחריך את ארץ מגריך את כל־ארץ כנען לאחזת עולם והייתי להם לאלהים׃
And I will give to you, and to your seed after you, the land where you are a stranger, all the land of Canaan, for an everlasting possession; and I will be their God.
Ezekiel 37:25,26
וישבו על־הארץ אשר נתתי לעבדי ליעקב אשר ישבו־בה אבותיכם וישבו עליה המה ובניהם ובני בניהם עד־עולם ודוד עבדי נשיא להם לעולם׃
And they shall dwell in the land that I have given to Jacob my servant, where your fathers have dwelt; and they shall dwell in it, they and their children, and their grandchildren for ever; and my servant David shall be their prince for ever.
וכרתי להם ברית שלום ברית עולם יהיה אותם ונתתים והרביתי אותם ונתתי את־מקדשי בתוכם לעולם׃
And I will make a covenant of peace with them; it shall be an everlasting covenant with them; and I will place them, and multiply them, and will set my sanctuary in the midst of them for evermore.
This idea that the land belongs to the Jews is a mistake. Jews are allowed to live in the land and are even encouraged to do so. But if we don't behave as we ought to then we will be banished as was the case at the time of the destruction of the first and second Temples. The land belongs to G-d, and Jews are more than welcome to live there so long as they follow the rules.
It's written we will break the rules, we will be expelled, and then we will return to our eternal inheritance. It's not a matter of IF we follow the rules then... It was written. You will fail and break the covenant, but I the Lord will never break my promise to you. Our God is not a man. Our God does not break its promises. That's what's written.
Leviticus
26:43
והארץ תעזב מהם ותרץ את־שבתתיה בהשמה מהם והם ירצו את־עונם יען וביען במשפטי מאסו ואת־חקתי געלה נפשם׃
The land also shall be left by them, and shall enjoy her sabbaths, while she lies desolate without them; and they shall accept the punishment of their iniquity; because, because they despised my judgments, and because their soul loathed my statutes.
26:44
ואף גם־זאת בהיותם בארץ איביהם לא־מאסתים ולא־געלתים לכלתם להפר בריתי אתם כי אני יהוה אלהיהם׃
And yet for all that, when they are in the land of their enemies, I will not cast them away, nor will I loathe them, to destroy them utterly, and to break my covenant with them; for I am the Lord their God.
26:45
וזכרתי להם ברית ראשנים אשר הוצאתי־אתם מארץ מצרים לעיני הגוים להיות להם לאלהים אני יהוה׃
But I will for their sakes remember the covenant of their ancestors, whom I brought forth out of the land of Egypt in the sight of the nations, that I might be their God; I am the Lord.