Yep, or go forced induction.
TBH, the latter is the only route I'd consider if it's going in an Omega.
By and large, for a naturally aspirated engine, assuming any glaring deficiencies have been ironed out of the induction and exhaust systems, power is proportional to revs. To get more power you need to make it rev higher, hence why the 2.2 would be a bad place to start, because the extra capacity was made by increasing the stroke, and piston speeds will get very high when you're revving it high.
Assuming it breathes well enough to make more power at higher revs (it will, as said, need porting, and might well need bigger valves) you need cams that will shift the power band higher in the rev range to exploit it. There's a tradeoff here because that will lose you torque at lower revs (as will fitting throttle bodies with a short intake tract). With a 1700kg car, torque at low revs is important.
Don't get me wrong, I went the route doz suggests with the Zetec in my Westfield and I love it. A 2L lump producing IRO 200 BHP is lovely when kept on the boil, and has enough at low revs for 650kg, but add an extra tonne of car to lug around and it'd be a bit tiresome.
Go the forced induction route and you'll get plenty of torque at lowish revs, as long as you fit a turbo that'll spin up reasonably low in the rev range. Maybe the setup from a C20LET? Problem is, the engine is rather high compression in standard form, so you'd need to reduce that before you even start. Might need forged pistons, stronger rods, etc...