But the SLS should be able to lift twice as much as SpaceX's future Falcon Heavy and 10 times the current Faclon 9.
Nope. The SLS will launch up to 70 tons. It may one day launch more, but that'll require a whole load more development funding.
If we want to launch man into deep space, we are going to need something close to SSL than the Falcon 9.
Nope. You just need more launches. If NASA are going to send humans to Mars, they're not going to do it with a single 130 ton launch.