Microwave strawberries and sugar in small microwaveable bowl on HIGH 1 min.; stir. Cool 10 min.
Meanwhile, microwave chocolate and cream in small microwaveable bowl 30 sec. Stir until chocolate is completely melted and mixture is well blended. Cool 10 min.
Add 1/3 of the cheesecake filling to strawberry mixture; mix well.
Spoon half of the remaining cheesecake filling into separate medium bowl; stir in 3 Tbsp. of the chocolate mixture. Reserve remaining chocolate mixture for later use.
Cut each banana lengthwise in half, then cut each piece crosswise in half.
Place 2 banana pieces in each of 8 serving dishes. Use a 2-Tbsp. scoop to place a scoop of strawberry cheesecake filling over the bananas in each dish. Repeat with chocolate cheesecake filling, and remaining (plain) cheesecake filling.
Spoon reserved chocolate mixture into resealable plastic bag. Cut small piece off one bottom corner of bag; use to drizzle chocolate mixture over banana splits. Sprinkle with nuts; top with cherries.