So, the weather forecast says we're supposed to be getting a major warm-up this week with highs in the 60s (Fahrenheit), although nighttime lows are mostly still mid 30s-ish. This is pretty unusual weather for the upper Midwest, but I'm guessing that folks further south deal with this sort of thing often. How likely is this to knock the trees out of dormancy? When you get weather like this, do you typically do some sort of intervention to try to prevent trees from coming out of dormancy or is this a thing where the shift back to colder temps will reverse course and put the trees back to sleep if they'd started to wake up?
A temporary warm up is not a real problem--unless it lasts a week or more.
Trees have to complete winter chilling requirements before they can bud out again in the spring. This is a natural "fail safe" temperate zone trees have evolved to prevent early bud break in late winter and early spring. It is dependent on species (some have shorter chilling hour requirements, some longer) and soil temperature. In general temperate zone trees have to have a soil temp of 40 degrees or warmer for days to begin pushing buds. That is why it is important to store trees where they don't get sun exposure which warms things up dramatically even on cold days.
I would get trees off of benches and mulch them to preserve the cold. Prevent air circulation around the root masses as much as possible. If nights are predicted to drop below 40, expose the root mass to the air, then mulch back over before it warms up in the afternoon...Watch the buds on the trees. Swelling buds isn't great, but not a disaster. A disaster is when those swelling buds break into leaves, even edges of leaves...That means the tree has broken dormancy.
For the most part, I wouldn't worry about this, unless you get a prolonged (like five days) of nighttime temps above 40 or so.