No. power is not your problem ... no way / no how. Your symptoms are simply not indicative of a power issue. You're drawing 0.6 sustained maximum amps (fan is rated for 0.3 max and 2 x 0.3 = 0.6) and the header is rated for a minimum sustained amperage of at least 1 amp. Given the above, have to veto the above answer as a solution.
In my personal rig, I have 16 fans on 3 headers using properly wired fan PCBs attached to 3 different MoBo headers..
6 on 420 rad
4 on 280 rad
6 case fans
a) You don't have 3 fans only 2
b) The 0.6 amp is no issue for your MoBo Header and certainly no issue for any fan controller.
MoBo Headers are typically rated at 1 amp, 2 amps on some high end boards. So even if you did have 3 fans ... 3 x 0.3 amps = 0.9 amps ... you are good.
Ya don't see 3000 rpm fans much these days as that kind of fan was typically associated with high fpi radiators of yesteryear. At 3000 rpm, your minimum speed will be around 600 - 750 rpm which is quite high.
Splitters are a poor solution and, in my experience with same , are not a wise choice for situations like yours. In all likelihood, the splitter isn't wired correcty with regard to the return signal ... just 1 reading should be sent back to the MoBo header. I also find the wire clutter unattractive.
The other issue which much be considered is the power / current draw. moBo headers are limited to 1 amp or 12 watts ... but you are OK there with just 2 fans and 0.6 amps. I recommend leaving a little leeway there proportional to fan speed for inrush and sustained current .. at 3k rpm, 50% is more than comfy if you wanna be "super-safe" accounting for a low budget MoBo, and 0.6 x 1.5 = 0.9 amps .... so again OK. I have run up to 8 fans (1.12 amps) on a single header w/o issue and I don't doubt you could run 3 ... but rather be on the safe side. In any case, if wired properly, they would either all run or the header would blow.
http://noctua.at/en/nf-f12-industrialppc-3000-pwm/specification
Max. Input Power = 3,6 W
Max. Input Current = 0,3 A
I would suggest a Fan Hub. if it's just the 2 fans, would suggest a 2-4 connector PWM hub from ModMyToys
http://www.frozencpu.com/products/23519/ele-1299/4-Pin_PWM_Power_Distribution_PCB_4x_Way_Block_MMT-PCB-4P-44P.html?tl=c121s424b214
http://www.performance-pcs.com/modmytoys-4-pin-pwm-power-distribution-pcb-4-way-block.html
Though this has the potential to connect 4 fans, with those power suckers, not knowing the MoBo or other components, I'd limit it to just 2