Why do we use base 60 for time and base 10 for everything else. Why has no one decided to integrate it.

Decimal time was introduced in Revolutionary France, just like the metric system and a decimal calendar. They made it non-mandatory after 17 months, partly because of the enormous costs to replace all clocks. The decimal calendar survived longer and was abolished by Napoleon as part of his reconciliation strategy with the Catholic church.

Decimal time is still used by the way. Astronomers use fractional days because it's easier to do calculations with. And that very same ease of use is why Microsoft Excel uses fractional dates to calculate dates, as it requires less calculations.