Difference between Kick Upstairs and Push Aside

KICK UPSTAIRS vs PUSH ASIDE: VERB

To promote (an employee considered troublesome) to a position of lesser influence, but of apparently higher status.
Give a promotion to or assign to a higher position

Good condition, Act upon, Bring forward, Bring round, Set about, Get across, Carry off, Collide with, Bring about, Set in motion, Upgrade, Promote, Advance, Elevate, Raise

Clear away, Slip by, Concentrate on, Keep down, Set in motion, Peck at, March on, Keep apart, Push away, Brush aside, Discount, Brush off, Disregard, Dismiss, Ignore

Good condition, Act upon, Bring forward, Bring round, Set about, Get across, Carry off, Collide with, Bring about, Set in motion, Upgrade, Promote, Advance, Elevate, Raise

Skip over, Pick at, Clear away, Slip by, Concentrate on, Keep down, Set in motion, Peck at, March on, Keep apart, Discount, Brush off, Disregard, Dismiss, Ignore

My concern is that they will push aside concerns as they have done before.
By to push aside our, judgement and care for others as just that policy also complies with Title!
To cause to turn off, push aside, parry, thrust away, refute an argument.
To push aside, to move out of the way.
What we did was push aside the notion that management and employees have inherently separate interests.
Being here and making friends helped me not forget but push aside my problems at home.
They tried to push aside the upstart AL and regain their profitable monopoly.
"I think they picked the wrong guy to push aside," he told reporters.
The shelf can be push aside to find a multiplier.
Pushing your hair aside frequently with your hand or shaking your head to push aside your hair.