No, once fired missiles have no way to adjust speed. Solid fuel rocket motors cannot be throttled, and besides their burn time is measured in seconds. The fuel is right against the skin of the missile so the missile body cannot tolerate much more heat than this. You guys really have never been anywhere close to guided missiles.
The small gas turbines of something like a MM-40 Exocet, Harpoon or TASM have simple solenoid operated fuel controls that are either on or off. They make full power or no power, that's it. Once either a solid fuel rocket or turbojet cruise missile is fired it's speed is set.
One point is correct, the high mach cruise missiles take so much room to maneuver and burn fuel so fast that reattack is impossible. Something like Harpoon or SLAM-ER, if spoofed off it's intended target by countermeasures has multiple seekers ( Block 3 Harpoon and all versions of SLAM-ER ) that enables them to come around and reattack. This is a specific design feature.
In the notional RAM vs Sunburn engagement, there is no way for the Sunburn to sense a RAM. Sunburn, like other active homing missiles, locks on to a target and then performs a pre-programed set of evasive maneuvers before striking the target. There is no provision for evading defensive missiles, and as pointed out, any evasive maneuver would be a win for the ship as it would put the missile off of it's target.
EW is useless against RAM, it homes on RF emissions ( ever hear of "home on jam" ) and has a very advanced IR seeker. Even a passive homing missile like C-802 with it's anti-radiation homing seeker is successfully engaged by RAM.
We practice defending against target simulators like the mach 2.8 ( and that is mach 2.8 at ten meters altitude, significantly faster and lower than 3M80 will manage ). These are high fidelity simulations of major threat systems. In actual practive RAM nails over 95% of these fast movers on the first engagement.
You folks also keep ignoring that these are head on engagements. The missile is heading directly at the RAM of CIWS. There isn't as much lateral movement as you imagine in these engagements. It is not that complicated a fire control solution to bring a stream of tungsten into a collision course with a missile that is coming straight at the gun. RAM has plenty of time for the engagement and will get better with rocket motor improvements. RAM Block 2 is quite a missile with double the propellant and much greater maneuverability and it fits in the original launcher.