Illustrator does vector, InDesign does layout.
You can do limited layout with Illustrator, but why? Why hamstring yourself? If you need to lay out a booklet with multiple pages, InDesign does it so much better.
I believe in letting the tools do what they do best.
Illustrator is perfectly fine for 1 page layouts like a business card or a poster, or even a large banner.
It doesn’t just do vectors.
Illustrator does have its limitations though when compared to InDesign. Too many to list here.
But a business card is well within its capabilities.
Yes, I know this. 
It just doesn’t make much sense to me to do one piece in Illustrator, then switch to InDesign to do other multi-page things like a brochure. It seems inefficient when InDesign does layout better.
But, just my opinion.
Thanks, let me play around with the bleed settings more and see. I guess I would have to extend the box to beyond the document set up size of 3.5x2 on the screen.
InDesign wins hands down for multi-page documents, but whenever possible, I’d much rather use Illustrator for one-page layouts. I just like the free-form nature of the application better than the more structured approach of InDesign.