Like Fire and Water
Judeo-Xtian values is an oxymoron. Any sort of partnership between them is therefore untenable. It makes no difference how many times the Pope visits a synagogue, or how many times a Baptist choir is invited to sing in a shul, or how many "rabbis" agree to Kasher a pig, there may be no mixture - only temporary tolerance (when they don't bother us physically or spiritually).
Pesahim 118b (Daf | Text | English [pdf p.388]) expounding this verse:
The Mahara"l in Netzah Yisrael explains that even in the world we currently live, the first 3 kingdoms (Bavel, Madai, and Yavan) are somewhat drawn toward Israel, and when Mashiah comes, they will be totally drawn toward Israel, so they have a connection to Israel. The fourth nation, however, Edom, cannot have a connection to Israel (since as we know, when one falls, the other rises, so a connection is made impossible). He explains that when we rebuke this wild beast of Edom (the only anonymous wild beast among the beasts described by Daniel), then we will acquire a community (Edah).אמר רבי חייא בר אבא אמר רבי יוחנן געור בחיה שכל מעשיה נכתבין בקולמוס אחד (תהילים סח) עדת אבירים בעגלי עמים ששחטו אבירים כעגלים שאין להם בעלים (תהילים סח) מתרפס ברצי כסף שפושטין יד לקבל ממון ואין עושין רצון בעלים (תהילים סח) פיזר עמים קרבות יחפצון מי גרם להם לישראל שיתפזרו לבין אומות העולם קריבות שהיו חפצין בהןR. Hiyya b. Abba interpreted it in R. Johanan's name: Rebuke the wild beast all of whose actions may be recorded with the same pen. ‘The multitude of the bulls [abbirim], with the calves of the people’: that means that they slaughtered the valiant [abbirim] like calves which have no owners. ‘Everyone opening his hand with the desire of money’: they stretch out their hand to accept the money, but do not carry out its owners’ wishes. ‘He hath scattered the people that delight in approaches’: what caused Israel to be scattered among the nations? The approaches [to the nations] which they desired.
Later, he explains that any two things that are opposites cannot have a connection - like fire and water. When we distance ourselves from the nations, we can overcome being scattered among them, but when we try to connect with them, we just get further scattered and consumed inside them. (He says this even clearer here.)