Sketch does not enforce contraints after referenced lines change dimension

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I am creating complicated profiles for stamped sheet parts. Aside from the numerous issues with Fusion 360 complaining about overconstraints when they don't exist (I can still move lines in the axis of freedom I attempt to constrain), I'm having a serious issue with referenced lines.
I can build and constrain the sketch to referenced intersections, lines, and arcs without issue while sketching. However, when a parameter value change causes the lines to move or change dimension, the sketch is broken into pieces. The reference attached portions of the sketch don't move with the referenced lines, but oddly the lines and arcs that had been constrained to the 'frozen' sketch lines do move appropriately.
A common thing that happens is where arcs are tangent to another arc or line, and the ends are coincident. The tangent and coincident constraints remain and highlight the appropriate sketch elements, but the elements are NOT actually in the correct places. The profiles and contours read the shown (broken) sketch and not the sketch that should build from the constraints.
Additionally even tiny movements of the referenced line cause the current dimension satisfied position of a line to jump to another dimension satisfied position, calling for substantial additional lines and dimensions to prevent this.
I don't have issues like this in an Inventor 30 day trial or in Solidworks. This is a major problem and makes referencing other parts in sketches totally useless in Fusion 360.
Thank you all for the help!
EDIT: 11/25/2015 1:37PM -8GMT [ADDED SCREENSHOT]