That PowerMax 100 amp looks like it would work well, though no experience with that brand.
A cheaper option would be using an old server power supply or two.
Maybe not this exact one, but something similar which can produce 74 amps at 12v with a line voltage of 120v. You can buy a pair of them and parallel them for over 140 amps, but you need a dedicated circuit breaker as they can pull up to 12a from the mains breaker, each fully loaded. Now a JX1000/1 is typically not going to pull 100a and one 75a power supply would probably suffice and not trip breakers or overload on music, but hard to say until tested. The key is to find one with documented info on wiring it up. The HP DL580 is fairly common and info on it readily available.
http://rover.ebay.com/rover/1/711-5...0001&campid=5335951755&icep_item=153922736060
Some info on making it work.
https://www.rcgroups.com/forums/sho...high-quality-12Volt-100Amp-Power-Supply-Part1
The built in fan is loud and would likely need to slow that down to make it quieter, or mount it behind something so you don't hear it as easily. You also need to be creative with connecting several wires to the 12v terminals and then to a pair of small distribution blocks to make connecting normal car audio power wire easier. You also need to wire a jumper to turn the power supply on, and you can also add a small potentiometer to raise the voltage slightly above 12v if you want to, think you can get 13v out of them roughly. Not all that difficult, the info is pretty easy to find on doing it, and very cheap for as much power as they produce,
but not plug and play and will require some extra work to make usable. Look up pricing on the 120v AC power cords before buying one, it is not the same a 3 pin computer cord and they usually do not come with one.
Similar to that PowerMax shown above, if you wanted a little easier, you could find an old Cascade Audio APS-75, or APS-90, even better the APS-100 power supply. A lot more money though, but you can connect car audio power wire directly to its block terminals, think it accepts 4 gauge. This is a very simple solution. This style is about as plug and play as it gets. These were really good power supplies, were rather expensive but my experience they worked very well. I think a 75a would just about be enough for that amp in your garage. Though I'd still consider that PowerMax over this one since it puts out 100a.
http://rover.ebay.com/rover/1/711-5...0001&campid=5335951755&icep_item=114932096981
I use to repair car audio amps and used a Cascade 45 amp for basic initial testing which powered amps very well (would have only powered a JX1000 to about half output). I also have a stack of those HP server supplies and they also work well, just not as easy to setup, but they were dirt cheap and put out huge current if you don't mind being creative with the wiring. If you can run them on 240v, a pair of those server supplies can supply over 200 amps. Fans are super noisy though.