The only similarities are their support of LGBT rights. In the case of Bonheur, she was a European, French painter that was openly and unapologetically lesbian and who refused to be told what to do by the patriarchal society of her day. She wore men’s clothes and also engaged in traditionally male activities such as hunting and smoking. She openly lived with her lesbian partner for 40 years and was extremely public and outspoken about her lesbianism. Her uncompromising stance helped French lesbians begin to assert themselves in society and to demand certain rights, which was revolutionary for the times.
In the case of Michelle Obama, she was the heterosexual First lady of POTUS Barack Obama during his presidency and she openly supported same-sex marriage rights in 2012. During her national military families initiative, she selected openly homosexual military members.