Dude, no offense, but I think you need to do some serious research on home defense and firearms.
If somebody has broken into your home while you are there, under most State laws (disclaimer--I am not an attorney, so research your own State laws), you can reasonably (and legally) assume they are there to do you harm...so why would you ever want to 'intimidate' someone who is already trying to cause you and your family harm? Would you ever conceal carry a weapon without a round in the chamber, suggesting that there is an 'intimidation' factor of racking the slide to charge the weapon...and at the time when you will need it most? If you are serious about home defense, you would not want to limit yourself by not being as prepared as possible, ie waiting to charge your weapon until the person could see/hear you.
Some semi-auto shotguns have been known to not reliably cycle (I have a Saiga 12, trust me, I know), and the ones that are known to work really well (the Benilli, for example) cost quite a bit. A solidly maintained pump shotgun rarely fails and can be cycled quite quickly with training and practice.
My advice: Do some solid research on home defense with and without a shotgun, talk to folks who practice home defense, and then if you chose to and are ready, buy pump shotgun with a solid reputation--hard to go wrong with a Remington 870 IMO. Later on as you learn and train/practice more, you may feel more comfortable spending the extra money ($350 vs $2K) in upgrading to an auto. Of course, it's your call.