Working out the maths for this (ignoring the gender fixing), there would be "normal" organism AA, and "crispr" organism BB. The special rule is that AA+BB=BB rather than AB. So if AA and BB are half the population each, equally split male and female, then only 1/4 pairings are AA/AA => AA , with the rest leading straight to BB, so it goes from 50% => 75% of the population within a single generation, given equal fitness. As a general rule if the population ratio of the mutant is "n" (out of 1), then the next generation will be nt+1 1 - (1-nt)^2), so if the current amount is 0.1 (10%) of the population having BB genes, the next generation will be 1 - 0.81 = 19%, so basically, when it's in low concentrations the prevalence of this gene doubles ever generation, and at high concentrations the prevalence of the unifected basically halves every generation.
But the above assumes equal fitness. I put together a JavaScript to do the numbers, if they're equally fit, then 1% mutants would be 99% in 10 generations, which is an extremely short amount of time. Normally, a mutant of equal fitness wouldn't increase the proportion of organisms with it's genes whatsoever. So how about if the BB's are less fit? Basically since they double their share of the gene pool every generation at the limit of low population, then AAs would have to survive twice as often to stop BBs getting a foothold. As the proportion of mutants rises the needed fitness of the mutants actually drops, they only need 42% fitness to break even with the normal ones at 50% population, and the limit to maintain 100% of the population being mutants approaches 25% fitness at 100%. So even really marginal organisms with this system could permanently take over a population if you seeded enough.
The real advantage of this over the Wolbachia strategy is that this is a self-replicating system whereas the Wolbachia requires you to constantly reseed the infertile males in large numbers. As soon as you stop seeding the infertile males, any residual mosquito population can rebound, and there might be pockets of remaining population that your released mosquitos can't reach.