Indeed. High-gain antennas and some math trickery can compensate a bit (see e.g. GPS and its below thermal noise floor signals), but I don't think a commercial transceiver could in any way win with a 50kW signal on a broadcast antenna turned jammer on a nearby hilltop.

But iraq is quite a big country. So do you think some jammers are enough for the country, or would you have to deploy them on every big hill/mountain?

You don't need to deploy them on each hill because you don't need to cover the whole country. Just concentrate on the densely populated areas and surroundings. People both away from the protests and not taking part in organising anything are likely irrelevant to gov in this case.