Actually you did.
If your phrase was meant to be conditional, you should have phrased it conditionally: "Without US cooperation, we would be doing everything that is legally allowed at the moment." Or, more precisely worded, "If we didn't have US cooperation, we would be doing everything that is legally allowed at the moment."
Your existing sentence had no such condition - its phraseology was merely a re-arranged "We are literally doing everything that is legally allowed at the moment without US cooperation."
Grammatically yours,
G2G