Wow - I take a short drive to Florida and holy smokes!! Poor JAD - and y'all too. First, I'd like to welcome JAD to this forum. I hope you (JAD) find all the good stuff we normally have around here AND all the good support from the forum members. As you can see, we're a talkative group and like to respond. It's normal and healthy.
I'd like to hear exactly what you're so upset about with your Q3. Generalizations usually don't help us much to help you, so as a few have noted, specifics are good. We have found our little (some not) issues and are on the lookout for everything. For your query, yes, ALL Q3s so far are made in Spain, although shortly some may be made in India and China, perhaps Mexico and Brasil too. Btw, about 90% of the cars' assembly is by robots (made in Japan or Germany), with the rest by Audi workers VERY well trained and tested for final quality assembly and finish work. There is NO quality compromise wherever they're built.
If you have specific issues I feel pretty certain they can be resolved by your dealer or maybe you have an odd 0.05% Lemon - it happens. Your state Lemon-law can help you if Audi won't, but be persistant with them - I think you'll find them VERY willing to help you feel much better about you car (PM me if you have ANY issues with this, as I have some good connections).
Also, chances are pretty good your A3 (hatch) was made in Hungary if you check - but really, not that that matters at all. Hope you come back and accept this welcome to participate and contribute more - we're a great forum.
