The only way is to add back the equivalent adjusted amount in your discounted value based on the quantity sold. For example, if the tier discount subtracted $20 for 3 quantities, you want to add back +20 in your new discount rule when the quantity of 3 is detected using an xsl:if or xsl:choose condition.
This may be too complicated. Can the coupon promotion not be simplified such that the coupon gives a smaller % discount to begin with and that way you don't have to mess with the tier pricing?