The weakness of the idea is disguised by the ability of the U.S. military to do more with less soldiers than any other force. But there are limits. Perhaps it would have been possible, with  round-the-clock support from B-52 delivered JDAM guided munitions, to maintain one huge firebase. The French Dien Bien Phu was such a base, though absent the equivalent of U.S. air power.

Power projection from such a base would have had extremely limited geographic scope.

You could read about the Siege of Khartoum, but that might be too much effort for those involved in congressional recriminations. So I ask for just 5 minutes and 31 seconds of your time:

KHARTOUM (1966) FINAL FIGHT