You have a point there - but a closer look at the subsequent events would explain why things had develped the way they have.
The large majority did not want Enosis, but by the same token, because in response to GC demands for Enosis, the TCs had been asking for "partition" which in effect was a demand for double Enosis; i.e. the island should be divided by Greece and Turkey. The above being the case, there was great mistrust between the two communities and to their respective motherlands (Greece and Turkey) who were portrayed as parties interested in annexing Cyprus.
When the invasion started, Ecevit made it very clear in the international media that the military action was to restore the Republic's status, it was not aimed at the GCs, and under the circumstances it was to ensure the safety of all inhabitants of Cyprus - not just the TCs. During the invasion leaflets were dropped from air to that effect, explaining the Turkey's intentions and for GCs to lay down their arms - guaranteeing they would be treated with respect and dignity. These were dropped on an island already occupied by UN-F-CYP who also read them, hence they could not have been a bluff. A copy of one was displayed by iceman in another thread couple of months ago.
Having made their intentions clear and expecting no resistance from the locals, the landing forces headed for one of the least favourable and most defended beach heads, few miles West of Kyrenia. This was the start of things going wrong and the whole invasion process turning into something else.
Turkish army's major losses was during the first landings as above, when artillery and heavy machine fire greeted them from concrete pillar boxes (still along the coast and mountains to this day). Once the infantry faced such fire power, the warships opened fire on all suspected military positions OUTSIDE OCCUPIED AREAS such as Kyrenia town itself and the surrounding villages. Soon after GCs new fanatic leaders (Samson) and military realised an invasion was on the way, attacks on all Turkish enclaves in Paphos, Nicosia, Famagusta, Lefka spontaneously followed. Paratroopers landing as part of the invasion process also met heavy resistance from the expecting National Guard and mainland Greek forces on the ground. The same forces started a major offensive using artillery and tanks against a handful of mainland Turkish infantry division stationed in "Gonyeli" as part of the 1960 agreements.
By now the whole thing had gone out of hand, with fightings in and around all Turkish enclaves with foreign media reports of attacks on Turkish civilians by the retreating Greek forces. Knowing that TCs outside Turkish military controlled areas were vulnerable and under constant threat of an attack / extermination, the military decided to move towards enclaves in Famagusta and Lefke-Morphou areas. Before the tank regiments could reach Famagusta, the Turkish enclave in the main town had been bombarded by mortars for weeks.
When mass graves of TC civilians - mainly elderly people, women and children were discovered in no less than 3 villages few miles from Famagusta - a repeat and reminder of what was happening during 1963-67 era - the whole operation now had a new purpose. To secure an area of land where TCs can be safely kept. This was encouraged more so by tens of thousands of refugees from Limassol and Paphos region, most of them who had left all their earthly posessions to live in tents in the safety of British sovereign bases.
RoC allowed Turkish refugees in their thousands to be ferried from the British bases to North, under UN supervision. From then on, the initial purpose and aim of the invasion had shifted considerably, because for all intents and purposes GCs and the Turkish army had now become enemies and that included the TCs and GCs who had both suffered great losses (albeit the GCs a lot more in terms of human losses - that was magnified even more so by the deaths of many who supported Makarios after the coup).
So as you can see, it is not a simple case of Turkey waking up one morning and deciding to divide the island into two. The whole operation went through a metamorphosis as events unfolded. The outcome in the end had developed into today's division, and had been in both TCs had Turkey's favour in terms of territorial gain / control. But I cannot help think about what would have happened if Makarios had not died so soon after the invasion and if the international talks on finding a solution continued. Based on his vast experience and knowledge of what had been happening on the island and having seen both sides of the coin, a part of me says that a solution would have been found a very long time ago. His death created a political vacuum that was exploited by politicians on both sides and had caused the subsequent extension of the Cyprus problem...
hahaha...and what lieing excuse are you going to give for countless Cypriot women being raped by the Turkish army then???