McKibbin was the son of John McKibbin, who ran John McKibbin & Son Ltd. He was born in Belfast and was sent to Campbell College, a leading grammar school in the city. He went to work in the family firm, but on the outbreak of the First World War he enlisted in the British Army. He served throughout the war. In 1922 he married Kathleen Laura Brennan, and they had a son together. After working in the family firm, McKibbin joined the Home Guard during the Second World War. He was commissioned into the Northern Ireland Army Cadet Force in December 1943, becoming commandant of the Third Cadet Battalion of The Royal Ulster Rifles, and was awarded the OBE in 1949.
Member of Parliament
At the 1950 general election, McKibbin was elected as an Ulster Unionist Party member to the United Kingdom Parliament from the constituency of Belfast East. His maiden speech on 20 March 1950 highlighted the disparity in pay between Army soldiers and munitions factory workers, arguing that it explained the scarcity of army recruits. In March 1951 he initiated a debate calling for additional recruitment of soldiers from British dominions and colonies overseas, on the ground that it allowed the build-up of a voluntary force which could relieve British troops.
Aircraft industry
In the early 1950s he tried to defend Short Brothers from the loss of work due to the suspension of work on the de Havilland Comet airliner, which had suffered a series of disasters. The Minister of Supply agreed to try to bring forward other contracts. Support for the local aircraft industry became a regular subject for him to raise. He also pressed for an increase in pensions payable to the disabled, saying that anything less than 90s. per week would be regarded as an instalment by the Royal British Legion in Northern Ireland. In the 1955 budget, he put down an amendment to exempt vehicles used by limbless ex-servicemen from purchase tax. McKibbin was appointed a Justice of the Peace and a Deputy Lieutenant for Belfast in 1955. Early the next year, he began a campaign to prevent civilian airliners from colliding with military aircraft, after an incident in which disaster was only narrowly avoided. He obtained a pledge to review the rules. McKibbin caused amusement in the House of Commons in 1957 when arguing for a reduction in taxation on musical instruments, he reported that a euphonium had been described to him as "the brass band's revenge for the bagpipes".
Army Cadet Force
In 1957 McKibbin was made hon. Colonel of the Army Cadet Force in Belfast, Antrim and North Down, and also became Chairman of the Army Cadet Force Association. He signed a motion critical of the conduct of the press after the Munich air disaster in 1958. McKibbin died suddenly in a London hospital in December 1958.