I also own a Snakeheads but fortunately they are legal in The Netherlands.
I wouldn't describe my snakeheads as calm and peacefull fish,but they aren't killing machines either.
About the low amount of muskellunge and pike's you catch in the U.S..
There is kind of a logic reason to that,I don't know about musky but pike is inactive for about 90% of the day.
And the bigger they are,the more lazier they get.
Pike ussualy feed like once every three to four days and only on a specific time of the day.
Most of the pike that are being caught on lures are not caught because they were hungry but because of an agressive reaction to a lure that came to close to them. Your waterways are probably filled with pike's,but because you don't know when and how to catch them you will end up catching bass.
I always went fishing in a small pond near my home from a couple of acres acros. Never seen nor caught a pike.
But in the winter of 2009 the pond frooze and due to a layer of snow on the ice all the fish inside the pool died.
When it stopped freezing and we came to take a look at the damage we were totally suprised.
Over one hundred dead pike's,with some over 30lbs.
The amount of time I spend at the lake casting lures most have been over 30hours,and I never caught anything.