I'm curious, why'd you add sea salt? Freshwater fish (and well in an axolotl's case amphibian) don't need salt in their water unless you're treating them for a disease.
Anyway, Cycling takes 3-4 weeks and sometimes longer. Nothing is going to happen in 2 days. There is really no way to speed it up - the bacteria take that long to establish and that's it, scientifically it's impossible. So keep testing your water and doing regular changes (I'd do 25% changes once a day if you want to keep those minnows alive - I don't prefer doing fish-in cycling because it's stressful and sometimes deadly for the fish, but it is the easiest way)
When you start seeing nitrate in your tests you're getting there, and when your levels are 0 ammonia, 0 nitrites and <40ppm nitrates you tank is cycled. I assume you're going to remove the fish before adding the Axolotl?
Do you have a filter? I didn't see mention of one - a filter is necessary as it gives the beneficial bacteria a place to live in the media. Edit: whoops nevermind, missed that, excuse my quick reading.
There are products like safe start that can supposedly kick start your cycle by adding bottled bacteria to your tank, but I am VERY skeptical those products work (the beneficial bacteria are very sensitive and there is no way they could survive in that bottle) and the type of bacteria they use often dies off very quickly and leaves you once again with an un-cycled tank unless new bacteria has grown in that time.