Prof TS, currently I'm both an IT Manager and a B737 pilot for a UK airline (check profile), but until a few weeks ago I used to work as a fulltime pilot for Go Fly (ok, I also did a modicum of IT/Systems work for them too).
That said, whether or not you should endeavour to work as a full-time pilot but yet also become involved with IT / Systems consultancy is debatable, e.g. most airlines will have you working some serious hours (which is what you need in order to move up the rungs of the aviation ladder), and of course most IT consultancy work will make (more so) similarly high demands upon your time; So, ultimately, something has to give, e.g. either it's the flying, the IT, or your health (both physical and mental ) !
E.g. last time I had a proper holiday was, uhm, duh, err ........ I can't remember (but certainly several years ago); i.e. am I guilty of burning the candle at both ends, well, yeah - but needs must, and necessity is a hard task master.
So yes you could do it, that said most reputable airline's 'Operations Manual' will almost certainly have a clause in it that states that 'crew members must ensure that adequate pre-flight rest has been obtained to prevent the onset of fatigue', i.e. it's all suitably vague, but perhaps a word of caution that might apply is that the chap who caused the recent derailment of the express and freight trains, when his Land Rover and trailer went down the embankment, (and which resulted in the death of several of the train's occupants) is mostly being prosecuted under the premise that he caused the deaths (apparently by dangerous driving) due to having taken insufficient rest !
Ps. And before anybody gets the idea that I'm working 24/7, think again. I have a roster which is completely legal, and includes a brilliant mix of both office and flying days - that said, I do cram an awful lot into both !