Cliff notes: don't give up, the speakers are awesome.
The Imagines don't need a separate crossover, they just need a proper installation. I am running my Imagines almost exactly as goingdef mentioned, except I'm using a Rubicon RUB4.600 [EDIT: just saw that you are actually considering this amp...it is as good a value as the speakers imo]. The gains are set up so that the mids have roughly 100WRMS going to them, and the tweeters have roughly 20. My car has this setup, and one Image Dynamics ID12D4V3 powered by a RUB1.400, and my head unit, and that's it. Yesterday that setup came in second to Rob Hilton by .25 points at the MECA SQL event in TN, getting a 74.25 v. his 74.5 . He's got (4) big, modded ARC Audio amps, 3-way active front, etc. etc. in his car.
On a side note, Rob is a graet guy, and he car is ridiculously cool. If any car of mine is ever half as cool as one of his I'll consider myself lucky. I'm just posting this as a counterpoint to people here talking about how the Imagines don't sound good, or need crossovers, or whatever...not necessarily the case. And also, if I'm being honest I listened to Rob's car, and if I were judging the gap would have been larger...I was lucky to be that close).
Also, I'm not sponsored, or on any team, or whatever...I'm very new to the hobby. I bought the HAT's out of my own pocket at a retail store. I spent about 6 weeks auditioning speakers, and if there's another pair of components available for $220 that even come close to the Imagines I'd love to hear them...I sure didn't find them in my search.