How sympathetic should the revolutionary americans have been to the king-killing french revolution?

I surmise that at the outset, we ought to have had extraordinary sensitivity to the means being taken in the French Revolution since we had a considerable measure of similitudes in our current transformation and theirs. Yet, it was their King that helped us win our upset by sending troops to battle our war against the British. I don't imagine that is was ideal for us to betray him. We ought to have by one means or another had conciliatory relations to the progressive pioneers to stop the carnage. We didn't need to slaughter our lord to set up our nation, I figure we could have mediated to stop the losses of the French Revolution.