Dubai, If you say there is no good service from Dubai to Abu Dhabi, then you havent been up to date mate.
There ARE good services. Good buses and convenient service on the Inter-Emirate Emirates Express.
The bus goes from Abu Dhabi to Dubai and opposite in 2 hours and costs 15 Dirhams per person (thats 2.5 in pounds which is great value). The first train sets off at 6:20 and there is a train every 40 minutes. Same timing (Schedule) from Dubai or from Abu Dhabi.
Any transport to and from stations could be easily done by taxi, as they dont cost much compared to UK.
So if you going on Matchday morning, I'd suggest taking a Taxi to Ghubaiba Station and take a bus whenever you want starting 6:20 (40 minutes intervals).
However if you are not staying the night you would not catch up a returning bus as the last bus leaves at 21:40. Alternative is taxi from Abu Dhabi to Dubai wich will cost around 40 pounds. Cheaper than spending the night in Abu Dhabi though.
Here is the information about the Inter Emirate buses (have a look Dubai)
http://www.rta.ae/wpsv5/wps/portal/!ut/ ... 82XzBfMzVQAnyway, I'm not sure about the Airport to Airport route. Sorry about that.
Abu Dhabi Airport is 10-15 minutes drive from Abu Dhabi City Centre. The Stadium is on the exact same route halfway.