Both Axis factions rely on armour to trade effectively/cause bleed vs USF infantry.
Its absolutley possible to beat his inf without the use of front line tanks, and when you do you pretty much win the game.
There are many doctrinal abilities that help you vs infantry.
S - mines are also brutal.
Panzerwerfer is also good (and can be kept safe from Jackson).
Invest in countering his inf and Jackson is useless. It may be overperforming, but its not an I win button. Also I use Tigers mostly when I can put them in urban areas which negates range advantage of TDs.