Something that should be pointed out, since HV was kind of leading in that direction, is this: When you're buying temporary transportation, you are supposed to shop for its replacement *before* it blows up. You use it to get around to the candidates to replace it and then sell it before it blows up so it has value. rick, naturally, didn't quite get that and waited just a bit too long.
Okay, that aside: No, I would go for the big Mercury over the Intrepid. The Intrepid, as good as it is, is still FWD. This is automatically higher maintenance in the US operating environment as things like CV joints and boots are far more fragile than the Mercury's front suspension or the live rear axle. Say what you will about the failings of live rear axles/stick axles (and we all know I do) the one thing they do really well is *last* even with minimal maintenance. Further with all the ownership changes Chrysler has gone through, parts may be an issue not too long from now. The Mercury, of course, is a rebadged Ford and is a car that was made in large numbers from 1979 to 2011 so the chances of running out of parts in any significant time frame is about nil. (The sheer numbers that were made ensure that the parts will be cheaper as well. You can buy actual factory parts for it at *gas stations* and *Walmart* for god's sake.) The Mercury is also less complex - far less complex - and easier to fix. The downside is that it doesn't have as many driver aids nor is it as fun to drive. Then again, your focus needs to be on reliable low total cost of ownership transport rather than on 'fun to drive ?ber alles'. Plus if you get bored you can often raid the Mustang aftermarket toybox for bolt-ons.
However, the name of the game is to keep as many options open as possible. Do not exclude one to focus on the other - the Mercury could turn out to be crap, or they may not have fixed the Intrepid's actual problems and have been throwing parts at it. You need to keep looking at cars until you have at least a couple of candidates you have looked at in person and seen what is wrong with them (if anything.)
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Also, both of these points - you can either ignore the parents (at the price of them doing 'told you so' if you make a bad choice or you can please them with your choice (at the price of being condemned to possibly driving something awful). You cannot do both. Is the budget still stuck at $1800?
Edit: Now I'm thinking I really should write that piece on 'how to get deals in the bottom end of the car market'...
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This could be interesting.
http://harrisburg.craigslist.org/cto/4371770049.html
Here's where you dispose of the Escort:
http://harrisburg.craigslist.org/cto/4371618414.html