I see three things wrong with the disassembling idea:
1) They would just break it, achieving nothing.
2) Even if they disassembled it without breaking it, they would still achieve nothing, as it would stop being a node for Dominion transmissions that Starfleet would love to eavesdrop. That's what made it valuable in the first place.
3) Even if they could keep it working while it was moved elsewhere, they would have no means of moving it anywhere - they were completely cut off, unable to get any reinforcements or even communicate to anybody their desperate need for such.
It seems that the force was dropped off by a starship that did manage to report back that the drop had taken place - otherwise, Sisko would not have made the supply run to the place. But it's clear nobody ever heard of the force after that, and Starfleet remained ignorant of the fact that there was anything strategically interesting down there; the force no doubt was supposed lost, but that supposition never reached the guy who wrote Sisko's itinerary.
On the other hand, the Dominion was none the wiser. Their side was not getting any reinforcements, either - but more importantly, their side wasn't able to inform their superiors that the communications node had been compromised, so the messages kept flowing. Anything that might have disturbed that state of affairs (such as the Starfleet team pulling the wrong plug) would have made all the deaths purposeless.
Timo Saloniemi