Married Filing Separately Community Property State with a Single Owner PLLC

My wife has federal student loans on income driven repayment so it makes sense for us to file separately. However, we are in a community property state (Texas) and she is self-employed with a Single Owner PLLC. When we do our tax returns, do we each do a schedule C but with all the values divided in half? For example, her computer is on a depreciation schedule. Do I depreciate half of the computer and she depreciates the other half?

Publication 555 says "Sole proprietorship. With regard to net income from a trade or business (other than a partnership) that is community income, self-employment tax is imposed on the spouse carrying on the trade or business." Does this mean that we split my W2 income, but her business is only on her return and only she does a schedule C? Thanks in advance!