Last week in this space a local federal worker, Robert E. Cobert, proposed moving most of Washington's 360,000 federal workers to different cities. He said it would bring government closer to the people, reduce local gridlock and give U.S. workers a better lifestyle away from this expensive area.

I thought his Monday Morning Quarterback proposal would draw responses from people with Potomac Fever who would be horrified at the thought of life beyond the Capital Beltway. I was half right! The move-'em-out proposal drew 28 letters and about a dozen phone calls. But all of the responses favor the dispersal plan.

For example:"Robert Cobert's concept of decentralizing the federal government is right on target. I recently wrote {a letter to the editor} to The Washington Post presenting a similar scenario, as a result of a Post article on Japan's consideration of moving the Diet {parliament} out of Tokyo.

" . . . headquarters units (those needing to interface with Congress and the president) could be designed and structured to remain in Washington. The 'nuts and bolts' functionaries can be moved to anywhere there is a telephone and an airport. Communication technologies are in place to link headquarters and satellite units to conduct necessary business.

"The growth of the federal government and its support cast has virtually crushed the area's physical and social infrastructures.

"Planning should commence now for gradual, phase movement of federal units. States interested in attracting large federal payrolls would, I'm sure, provide attractive and functional offices and assist in the operational logistics of such a plan.

" . . . I suspect the Post is not too anxious to build a fire under such a concept for obvious reasons. One of these days when Congress realizes the savings . . . and increased efficiency and productivity . . . that can be achieved from the action, it will move in this direction . . . " John M. Ropes Arlington

"There is no need for all of the federal agencies to be located here any longer. It is of course only 'pork barreling' for the District, Maryland and Virginia.

"Consider the recent proposal to relocate the Navy from one set of buildings in Crystal City to another set of buildings in the same area. Only the owners of the buildings and the Arlington County government benefited. Many people must commute because they can't afford to live in Arlington.

"Why isn't the Navy relocated to Biloxi, Miss., or some other state near the water with a naval installation? Let the brass remain close to the Pentagon and Congress. But for thousands of daily commuters, it would be a boon to live in a congestion-free, affordable area where living costs are in line with income."

J.F.L. Arlington

"In Washington my $27,000 per year allows me a meager standard of living. In my hometown in Bethlehem, Pa., I could live a much better life and, free from financial worries (and happier), be more productive. Tell me when the movers are coming!"

Roberta White Oak