Extending your KF2 forward to cover your strakes/LERX is not going to affect your center of lift or your CG much in my experience, not that you have to start shifting a bunch of weight forward to balance the plane anyway nor will it make your plane fly naturally nose heavy. It will make the airflow smoother over the entire wing/strakes, perhaps making your plane feel a little smoother and stable over not having KF extending over the top of the strakes.
If you are designing this plane to fly KF2 only, it might make it a bit "floaty" which may make it feel/fly a bit tail heavy or cause the nose to want to float up needing more weight forward to keep it balanced in flight. What percentage of chord length are you using for your KF airfoil sizing? For most swept wing planes, starting at about 40% of chord is a good benchmark. Make it much more than that and you start to really affect the relationship between the CG and CL. Behaviors that can indicate this is the plane can have a regular tendency to fight itself in turns where the nose will want to rise or drop and not track true. Also, if you are in a dive, it can take a lot more effort and altitude to pull the nose back to level as the plane will not rotate as easily in the pitch axis if the KF is too big in relation to the wing chord.
Ok, I guess I'll leave the strakes un-KF'd then and make sure I've got no more than 40% covered like I did on my self-designed BF-109.