Yes, you will need to develop a whole new skillset when you buy a large AMG powered car (I have had a four wheel spin/drift in the GT at the national speed limit on a damp, slick day with the wrong tyres and car set up, my own fault entirely) but this is why I like it over the Audi product, there is a real life error margin, push it and you will find it, don't push it and you revel in the rewarding glory of it. win win I say.
Don't shoot the messenger but......you must have seen these videos already:
This sold me on the W213 E63s and the last E63 I drive was an early S212 M156 car. Chris Harris also owned a CLS63s as a daily driver, hence this video from 2012:
To quote the first video on the E63S (5:10 seconds in ): 'Nope.... can't do that in an RS6.....' These cars aren't as bad as you think if you respect them as others have said. With that budget you are going to have an awesome search and buy. And family safety isn't something you should worry about.
I'm an AMG fan, for me they really do offer something else the competition does not.