First things first...neither the Jolida nor the Outlaw is quite up to driving the Mirage speakers. The M3-si had a sensitivity rating of around 83dB and the manufacturer recommends 100 watts MINIMUM to drive them...but to handle dynamic peaks in rock and classical music, you need more like 200-300.
If you listen at low volumes only, you probably won't get into any trouble with clipping (which is what happens when the amp runs out of power; the result can damage your speakers. It is much easier to damage your speakers by underpowering them than by overpowering them).
However, even at low volumes, you may notice a rather flaccid sound.
Second, using $600 amps to drive $3,000+ speakers is kind of like putting $50 bargain bin tires on a Porsche 911. That doesn't mean you need to spend $3,000 on an amp, but probably you're looking at about a $1,500 investment if you want to hear what the speakers are really capable of.
You have some options, and because all amps (and preamps) sound different, you should listen and decide which work best for you, but generally speaking...
(a) You can keep the Outlaw to use as a preamplifier and shop for a high-power amplifier. If you like how the Outlaw sounds, you can easily fix the power deficit by hooking up a pair of their M-Block 200wpc power amps, which will run you about $650 for the pair.
http://www.outlawaudio.com/products/2200.html
The only problem is, if you get restless and still want to upgrade, you now have to sell the Outlaw stuff and take a hit in terms of resale. Which brings me to my next suggestion...
(b) Instead of taking "half steps," keep the Outlaw as a preamp and spend $2-3k or so on a higher-end two-channel power amp. This way, you'll not only get the power you need, but added resolution and refinement. Later, when funds allow, you can upgrade the preamp too which will make a big difference. The advantage here is that you only have to sell one piece isstead of two or three and you'll lose less money.
(c) You can keep the Outlaw or the Jolida, sell the Mirage speakers and start auditioning smaller or more sensitive speakers that make for a more sensible match. Ask your dealer.