How should I be dealing with the dropkick and that forward rolling normal she has? Both of those seem to put me at the disadvantage while getting her in the range she wants to be.
All of this Mika salt is hilarious, holy shit.
Her Dropkick is easy as fuck to stop, have none of you ever gone into training mode to test shit? You can Jab or even crouch Jab Mika out of it, you can do SRK or EX Reversal to stop it, you can neutral jump, can even backdash it and still have enough time to punish it. It's not hard.
All of these dudes whining and saying that would ragequit on a Mika would get their asses annihilated in a fighting game where command grabs are really good.
Mika has no good ways of getting in without using Nadeshiko and even using Nadeshiko carries some risks. Plus using Nadeshiko as a way just to get in can be wasteful as Nadeshiko is Mika's greatest tool and can allow her to come back in a big way. Without Nadeshiko, Mika is forced to either jump in, do something very risky like HP Peach from max range, or walk in and pre-preemptively block.
She doesn't an overhead that can be safe at max range, she doesn't have true blockstrings, she doesn't have a fireball, and she doesn't have a move like LP Bolt -which is safe-ish and allows a free frametrap/mixup on hit-. She doesn't have a banana or a coke can, or an EX Bullhead that can be made totally safe with V-Trigger. She definitely doesn't have a Parry that can absorb multiple hits.
If you're losing to a Mika than you're getting out-played. Simple as that. Accept defeat.