Hydraulic road brakes are available on 105 and up. I think road and MTB levers and calipers are compatible.
Your 10 speed Deore derailleur will not be compatible with 10 speed road shifters. Shimano derailleur pull ratios diverged when MTB drivetrains reached 10 speeds.
As David said, the main problem is hybrid bikes have different frame geometry than drop-bar bikes. They are longer (greater reach) because flat bars do not extend so far forward as drop bars. The Portobello also seems to have a large stack (height of the top of the steerer tube above the BB). You'd have to use a very short stem to get a usable hand position, which will negatively affect the steering.
A set of hydro road shifters is not cheap, you'll either have to learn how to bleed hydro brakes (and buy a bleed kit) or have a LBS do it for you; and you are taking a risk that you'll end up with something unridable, or at least very compromised. Selling the bike and getting a new one is a better option.