Unless I'm forced to adopt the role of an active combat SLDF member for this question (which I'm not clear if such is the case from the OP), no. I have no desire to be an actual member of the military in the BT setting (they are pretty universally poorly run, horribly used, and a mess), so I don't have the Kerensky love-fest going on. As a civilian, even maybe with a desired skill set...I'd still say no. It doesn't take long to look at Kerensky's plan and say "Hey, did anybody put more than two minutes of thought into this? This sounds like a one-way trip to marooning on a barren world and Donner party antics."
If you're asking as active duty SLDF as my role? Yeah, no. After the utterly disgusting nature of the Amaris Crisis and Liberation (particularly if I'm from the Hegemony), I'm finding the nearest quiet beach, and drowning myself in alcohol until death results. It's always been a real pet peeve of mine that Kerensky somehow had 90% of the remaining SLDF go with him. It should have been 90% of "what was left after 50% of the survivors retired into gibbering madness, chemical self-medication, and/or PTSD." So about a battalion or two.