Once you can't push it anymore, you're probably at the max pressure. Probably. Can you put a longer bar on to get more pressure? Definitely. But as you said, you do risk blowing your seals. Its probably not going explode on you, but you could definitely push it beyond what the mfr spec'd it to.
An 8 ton jack will give you much more flexibility. I like
this, and
this, but budgets get blown out quickly as pressure rises. Harbor Freight has a coupon code and will ship the 6 ton for $7 which is insane. For ~$80 you can have it at your door.
The major concern with jacks is heat from the press plates. The heat can travel to the jack pretty easily, depending on the jack. Trust me, we've blown out seals in our testing. The jacks we're all looking at weren't designed to deal with heat in any way. Commercial jacks can deal with heat, but you'd need to take out another mortgage...
The arbor presses are pretty foolproof...as there are no seals or hydraulics to blow out. But with a 2 ton limit you just won't get maximum extraction. Not even close.