Hi Lindsey
It sounds like the mousse is too soft to hold the cake.
Sliding usually occurs when you have too much filling in the cake, and with the mousse being very light, it cannot hold the weight of the cake, which may be the cause of it seeping. Even using the straws won't help because there isn't enough strength in the mousse to take the weight of the cake and they then become fragile.
Mousse cakes should be kept refrigerated at all times and should only be removed for serving, if you have to leave it out then I would suggest you serve within 30-mins to an hour.
If you want to keep the mousse as a filling, I would cut more layers into the cake and put thinner layers of the mousse running through it rather than a thick layer in the centre. This will still give you the amount of mousse but with hopefully stop the seeping as there will be less weight and a thinner covering.
If the mousse allows and holds its shape, then I would pipe some on the top and cover the surrounding cake in it, thus allowing less filling in the centre but still giving you the mousse flavour.
If your mousse is too thin and doesn't coat the back of a spoon, then there is something called a 'liaison' whereby you would add additional egg yolk and cream to the mousse to thicken it.
The only other thing I can suggest is to use ganache instead.
I hope this helps.
