Sure I can. First point:
I don't see anyone on the right pushing government religion, give examples.
If you mean "government religion" in the sense of Sharia in some Muslim majority countries - then I haven't made the claim those on the right are pushing government religion, so why should I give examples?
There are those on the right who are trying insert their religious principles into the legal system. This most commonly comes out in same sex marriage and abortion arguments.
As to "liberal judges" referencing Sharia in rulings - that's pretty ignorant. Ignorant because it assumes things which are not true.
First - that the judges are "liberal".
Second - that "referencing" Sharia means what you seem to think.
Laws regarding how we work with international entities and people are complicated because we have to take into account the laws of the other countries. This comes out usually in contracts, marriage and divorce. In some countries, those laws are religiously based. This is an old and long standing legal tradition.
American courts using foreign law that incorporates religious law
I know exactly what case you will likely use to claim "Sharia" in American courts. It's the one where a judge allowed an immigrant to claim cultural norms of his original country as the reason he beat his wife. What you ignore is - it was one judge, and the ruling was over turned.
So where exactly is the "left" - or ANYONE - trying to force Sharia into our system of law?
No leftist would tolerate that any more than they would tolerate the right's attempt to insert their religion into our system of law. What is it you expect "the left" to limit Muslims from doing that is actually occurring?