Is there any evidence that they are interacting in any meaningful way with the "Modernist" Ukrainians? Unless you have such evidence, there's nothing wrong with using their church. It's better than renting a hotel room.
Some Eastern Rite churches have "missions" where they simply use the church building of a Novus Ordo church, say, at 3PM on a Sunday because their congregation is too small to be able to afford/finance. People go there for their Liturgy at 3PM and then leave. There's no meaningful interaction between them and the Latin Rite parishioners.
So, unless you have proof that there's more than this going on, you're just spreading nonsense.
My experience with Ukrainian Catholics, however, is that the vast majority of them still have the Catholic faith. They're no more "Modernist" than any typical U.S. Roman Rite parish might have been in the 1940s. To be frank, very few of them pay much attention to Vatican II. Do they share some of the same thinking? Sure, but no more than any liberal pre-Vatican II parish might have.