This fucking thread...😂🤣
On a somewhat serious note, I'll answer the OP. The Federation Actually does somewhat better than the Harkonnan did by having better Air Mobile forces/Air support. The use of Shuttles instead of those...whatever they were to act as Air Mobile transports for Federation Ground troops and then act as a cross between an Apache/Spectre gunship, One that can dance around return fire missiles and likely tank a few hits even if those shots did connect. They'll go in and establish air superiority and pretty much crush the Freman in those first few battles, which will force the Freman to adapt their tactics.
Then I can see the Federation, even just throwing red shirts *cough* *cough*
Starfleet security into the meat grinder, and they'll just grind the Freman down. Federation is vastly larger with far greater manpower reserves than the Harkonnan had. Federation doesn't need superior training and skill when it comes to ground operations. Which, as we've seen in the TV show, they lack. They just need basic tactics to draw the Freman out, which it will, then they vaporize them with superior weapons from the circling gunships. Whether Federation hand Phasers and phaser rifles can breach the sonic shields is not yet established by the OP, so OP please clarify that. But the Freman will never surrender. And I don't care how bloodlusted Starfleet is, they're not gonna genocide an entire race of poeple because of space pixie dust...
Fuck, Starfleet and the Federation don't even need the Spice and aren't getting rich off it. Its a novelty to them that might help improve health and long life, but we all know how squeamish the Federation gets about stuff like that. Yet...they want to keep Don Muadib Trump from giving it to the Borg....
....for....reasons...
I cant take this shit seriously without busting a gut....
Yeah, so...The Federation does better than the Harkonnans because they have better sensors, weapons and technology, but their troops suck. In the end, Arrakis will not be pacified before the Federation civilian population demands an end to the conflict.