Hello Serenitystar,
One can study the situation rather readily by a regular review of current conditions at various zip codes along a planned route via the Weather Channel's weather "dot" com, and by simultaneous daytime viewing of the various Mountain West states' webcams, easily found with Mr Google's help. Try "Utah Commuterlink" for starters.
What you'll see is exactly what AZBuck suggests: I-90, I-80, and I-70 are kept open under all but the worst conditions, and waiting it out for a few hours to a day is statistically safer than lengthy detours.
Look ahead, relax, and enjoy planning and taking your RoadTrip.
Foy