Don't feel bad. Feeding the baby is something your wife's jobwife is infinitely more qualified for. This is why she has breasts and you don't. There are plenty of other ways you can help out though.
When ours were little, my wife would feed them and I would burp them, do the diaper changes and the bathing etc. This seemsseemed a very fair balance.
We never used pacifiers or formula. Our babies were exclusively breast fed until they were old enough to start on solids.