The question is how we can get through the current difficulties.
Literal
Problem [topic-は] by-what-means we [subj-が] current [poss-の] difficulty [obj-を] get-through [Q-か] [copula-である].
切り抜ける ('get through, push past') is a compound verb: 切る ('cut') + 抜ける ('break through'). 困難 ('difficulty, hardship') is formal Sino-Japanese. A weightier variant of the いかにして pattern.