[Nanno]

My goats just walk through electric fence.

They react when they touch it with their noses, but then just plow through.

I don't think your fence is hot enough. Make sure your ground is adequate and that you have a powerful enough fencer for the area you've fenced. A proper electric fence should make a good loud SNAP when they touch it, and your goat will feel like he got his teeth knocked out if he touches his nose on it.