If a new technology could solve an important problem but put people out of work, would you support its implementation?

Yes. If it can get people out of dangerous jobs and protect our people then I support it.

I would support slowly integrating it into society

Not all progress is good, however technologies must be contextualized within a culture. If the culture cannot incorporate the new technology without causing undue harm, that culture may need to avoid adopting the technology or risk unforeseen consequences. In the past, technological innovations have changed labor, both for the good and for evil. The cotton gin increased demand for slave labor until society was able to find an alternative and force a change. Automation and robotics both reduced the number of manufacturing jobs while also increasing safety and quality. It isn't inhere…  Read morently evil for labor norms to change, but those norms must be contextualized and adapted to properly. If a new technology puts people out of work and society has no way to adapt, that would be bad. It isn't an appropriate adaptation to simply say that work is no longer necessary because the majority of people will lose the ability to make meaning in their lives without the productive effort to give them challenges and purpose. The result would be a crisis of the soul far greater than the material challenges of inequality.