Make sure the cars up to operating temp and put your heater to full and then set the vents to footwell, your air con will come on immediately or around 30sec depending on the year of the car, the cooling fans will come on too. Check the aircon pipes below bonnet to see if there cool. They won't go ice cold at this time of the year, but it will cause you compessor to click on if theres enough gas in it.
Your using the demisting characterstics of air con, the heater being on full essentialy tricks the system into coming on at below 5 degrees.
If compressor doesn't click on it could be -
1. A leak
2. Possible Major over gassing, but at this time of the year the pressure on the system when in use is unlikely to trip pressure switch.
3. Electrical - check fuses, wires, relays.
4. Cooling fans. Check fuses. Make sure your the cooling fans are working as they should. Let your car idle and ensure the fans kick in when it gets hot. If they're not working the air con will not come on at all. To check the relays are working okay, you can disconnect 1 cooling fan for a few secs when the cars hot, the other fan should go to higher speed on the omega. If the cooling fans ain't working the air con relay will not come on.
Can't be sure where the low pressure switch is on the v6 the air con piping at the moment, it's been while since I worked on one, but it you can unplug it and bridge the connecters with a paper clip to get the system to click on if all else fails, if it works its gas or a faulty low pressure switch, just do this to check it only!