OOOOOOHHHHHHHHHHHH SHEEEEEIT DUUUDE!!!
This is actually funny timing, I'm in the middle of writing up details for a Jihad-era RP, so go figure.
I'm assuming that this RP is starting roughly around 3057 and the Clans have established themselves as, effectively, the new Star League, sort of. Also, since the clans defeated the Inner Sphere, seemingly being spearheaded by the Jade Falcons, it can be assumed that Jade Falcon is the IlClan, and that the Refusal War never happened, thus Ulric Kerensky would most likely still be the IlKhan, since he was elected between the first and second waves of the invasion, and he can't have died since the Refusal War didn't happen. I know you mentioned that the current IlKhan is Natasha Kerensky, which I don't necessarily have a problem with, but it seems unlikely given that the Jade Falcons evidently were the most effective clan during the invasion in your timeline. Even more so given that she was the leader of the Wolf's Dragoons before the invasion, and that she and Ulric Kerensky were both staunch wardens. I have no doubt that the Jade Falcons would stop at nothing to use these facts against her.
Not trying to deconstruct your story, just want some clarification. I intend to make my character an IS-sympathetic Clan Wolf warrior, so this information would be very helpful for writing up a history section.