To piggyback: The only thing that's stopping you, is you yourself.
The 3.9 has a high compression ratio that makes it difficult to boost. It is also pretty maxed out from the factory in N/A form and custom cams won't give you much power at all without going to some absurdly lopey cam designed to only run at over 4,000RPM.
How do you plan on stroking it to 4.8? Where are you getting your crank? Because no one makes anything for this engine besides oversized crank bearings.
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Do not take offense to the incoming replies if they are negative and/or condescending. Hundreds of people have come on here saying they have a plan, they know what they're doing, they know what they're talking about and we don't, and how rude of a group we can be, but the reality is none of them have come back with a success story. There are a handful of people who have gone and made serious modifications, but they walked into the LS with a lot of previous knowledge. As far as I know, there's been one supercharger, 3 turbos, and 3 engine swaps. The SC was a bit conservative. One turbo guy disappeared. One is here, but had 18 months of downtime for an engine rebuild. Not sure about the 3rd. None of the engine swaps functioned correctly.
What do you want? A straight up hotrod? Do an LS1 or 302 swap and don't even bother trying to run any electronics (dash, AC, ABS...).
We want to see it happen. But we're also jaded.