I the Arab Spring still going to be a thing? Because supporting Gaddafi only to then having to massacre protesters is not going to help us at all. If anything else we should begin to look for people within the nation who might wish to replace him and become new leaders of Libya to keep the situation from going out of control and also as a way to gain further influence in the nation.
We saw how that worked out otl. Honestly we don't really know how Arab spring will play out and at the end of the day we should aim to keep Lybia as stable ally in North Africa.
In case of shooting of the protests? USA is allied with Saudi Arabia. Generally we should encourage some reforms but at the end of the day keeping stability in the region should take precedent.