You don’t sound like a bitch at all and you are certainly, certainly entitled to your opinion. However, please read the terms of the petition. It is not to shut the clinic down, it is to re-examine how federal funding is being applied to this clinic.
While I personally want it shut down, you are right that the government cannot step in. However, with this separation between church and state holding true, the government should not be giving money to carry out what you have clarified to be a religious agenda.
The issue here is that federal funds are going to something that has been declared to be an out-dated and harmful process by federally-supported organizations. Therefore, if they wish to continue these practices, they should not be carrying them out with the help of federal funds.
Do I want the clinic shut down? As a Christian and as a human rights supporter, hell yeah. But is that the purpose of this petition? No. This is not a First Amendment issue at all, it is an issue of improper use of federal funding.