One of the most interesting OS project imo, I hope there will be some changes on the hardware side eventually but unfortunately I remain skeptical.
If you are already running an operating system on an Intel vPro (VT-d, TXT) laptop, you can likely run Qubes on that hardware.
If you are concerned about the Intel ME, you would need an Ivy Bridge vPro device like the Lenovo x230, plus skillz [0] that improves the security posture of all operating systems, including Qubes.
Security is only meaningful within the context of a threat model. Qubes, like every operating system, has many possible configurations, for different threat models.