I'm taking the equivalent number of Active Skill points and transferring them to other skills
Not by your example your not.
with Leadership +1, Con +1, Running +1 instead of Professional Knowledge +3.
but Blades +1, Computers +1, Software +1 instead of the Acting Group and
Sneaking +1, Negotiation +1, Street Knowledge (City) +1 instead of the Stealth group.
Your replacing Single Skills for Groups & Active Skills for Knowledge Skills.
Those are not the same amount of Karma.
Just my suggestion but, if you don't like the "Name-Story" of the Path then pick something that you do like & change the name/story v/s the game stats.
If there is not a single game stat path that you like, then, maybe I'd look into creating a whole new path, but before that I'd probably look at doing 1-2 end creation swaps instead.
I'd create a full character as close to what I want & then from there when its all compiled I'd look at the possibility of swapping some skills out or around. Finished at Computer-4 & Software-3 but felt that the character was more an electrician v/s programmer, see about swapping them around to be Computer-3 & Hardware-4.
Ended up w/ Blades-4 but really wanted to have a guy skilled w/ the Baton instead. Swap Blades-4 out for Clubs-4