amp with two outputs to a dvc different

I hope this makes sense

I have a 2006 Jeep Wrangler with the stock 7 speaker system.  I has a crappy subwoofer between the front seats and a little amp.  My subwoofer blew out from what I consider moderate use so this is my question.

The factory speaker is a DVC eacj with 2 ohms looking into the speak and the amp it comes with has two independent inputs into the speaker, one to each coil.  Can the DVC be replaced with a 2 ohm SVC that can handle at least double the watts and hook both of the old positives to the SVC positive and both the old negatives to the SVC negative since from the amp looking to the speaker is still going to be 2 ohms.

It makes sense to me but can be completely wrong.  thanks for the help

Thanks for the info.  I'm not sure if it really is a 2 channel amp. But from standard resistance reading none of the circuits seem to be in pararllel or series.

Sorry If the question was ridiculous, It's just that I'm an electrical engineer, and it seemed to me that if two independent and equal sources feed two independent and equal loads (balanced system) you could have combined the ciruit loads from the independent sources as long as the load was current (or power) rated suficiently high enough to pass (absorb) the source current (power) from both sources.  Where I'm not experienced is the internal workings of amps and if it has buffer stages or other types of isolation circuits that would prevent one source from feeding the other through the load in an unbalanced situation.

If you have any comments please let me know.  Thanks again for the info, I really do appreciate the help.  I hope my above parargraph didn't seem like I didn't believe you, it was just my reasoning that might explain the success stories.