Is the Lenovo Yoga 3 Pro good for these games? And any suggestions?

The Mount & Blade games (Warband and Vikings), Chivalry, War of the Vikings, Minecraft, the Total War games (more specifically Rome II), and similar games?

If not, do you guys have any suggestions as to laptops that can? Nothing as heavy as a Gigabyte though, and not specifically for gaming (good for school too)

And is the intel m core not as powerful as the i5 or i7?

NO
The maximum speed of an M core is 1.1 Ghz
you'd need a quad core to play games like that and an advanced video card.
Those tablet/laptops are garbage

The Intel M, or M for "Mobile", is for power-saving laptop use. To compare that to an i5 would be like a Korean car pretending to be an Italian Super car.

It has to be a tablet? Because you won't get much gaming power from the Yoga 3 Pro or any other tablets. You can get a decent light weight laptop for that price range with a better processor, graphics card, battery life etc.
The HP OMEN 15-5010nr Gaming Notebook as seen here >http://amzn.to/1vOFt0M
It is very sleek and is packed with lots of power.