Micia - I think that it would not be true to say that easyJet is biased against A320 pilots. There are a number of pilots at easyJet who have only ever flown the Airbus and never flown a 737 (like me!). It is not common practice to do sim rides on an Airbus because it does not lend itself to 'raw data' flying in the way a 737 does - and that applies to many airlines, not just easyJet.
You do not have to spend lots of money on expensive sim time (£400/hr I'm told). Many people use MS Flt Sim with their excellent 737 to 'get their eye in' and have found it to be very beneficial. There are no supermen (or women!) at easyJet but they do expect you to be able to successully demonstrate basic flying aptitude - which is not unreasonable. To that end you must be able to do raw data ILS's and manipulate the needles whilst not losing the plot. The bottom line is you must go in prepared - to turn up at the sim ride not having done some practice of some kind would be very unwise. Best of luck.