Aside from the fact that this competes for one of the longer necro posts I've seen in a while, I don't understand what you mean by "most effective is the rudder." If anything, it is the least effective attitude control.
In one of Barry Schiff's "The Proficient Pilot" articles (I don't know the issue, but it's in the 1980 compilation book of the same name), he suggests a modified version of the "kickout" for crosswind landings. Rather than the wings-level kickout that airliners use, he proposed a crabbed approch with a dynamic sideslip entry just before touchdown, low enough so the upwind wheel touching down interrupts the slip, and claims he landed a Cherokee 140 in 35 knot crosswinds at KSMO.
While I've never attempted this IRL, I have tried it in flight sims. One point he does not mention is that the dynamic entry seems to allow for more crosswind compensation than you would normally have the rudder authority for. So while the M20J seems to run out of rudder authority for a sustained sideslip around 15-20 knots of crosswind at typical approach speeds, a dynamic entry will swing your nose around even further than that, at least for a couple seconds, during which you hopefully touch down.
It's worth a read if you can find it.