OK, not to beat this horse to death but, I agree it is WAY cheaper to fix the one you have. Unless the tank is leaking, it is far easier/cheaper to just repair the existing tank type electric unit.
I've been running a power vented propane fired water heater for years but I like the idea of a tankless heater. Unfortunately the initial costs outweigh the savings so unless I have to replace the tank type model, there is no savings in switching to a tankless unit. The electric to gas conversation isn't as expensive but it is still not worth the cost/effort unless the current tank type unit starts to leak.
If I was starting from scratch, I would build a duel system that utilized a solar water heater backed up by a tankless heater.
A combined solar/gas would be difficult to retrofit to an existing home and even in a new home it would take years to realize the savings. The old tank type units aren't very efficient but they are cheaper and have proven to be simple workhorses. Sometimes you just have to look at the bottom line and go with what works best in the given situation.