A friend has owned both and the Honda is significantly more reliable and durable than the Dodge. However, here a Dodge sells for a lot less than a Honda, so if buying new and if you don't drive much, a Dodge might be a good idea.
Buying a USED Dodge mini van, is a real crap shoot. Look at the Consumer Reports Buying Guide on sale at any at news stand and you will see the difference in ratings. CR rates the Dodge as "not recommended' because of all those past problems.
A mechanic who drives little may pick one up a and keep it running. If your job depends on the vehicle's reliability stay away fro the Dodge.
Others that are good are Toyota Sienna and Hyundai and Kia minivans.