Most protestants will tell me that God doesn’t hear our prayers (catholic exclusively), because we don’t pray ‘’…In Jesus’ Name.’’
First of all, that’s baloney, God hears all sincere prayers and there aren’t magic words we need to use to get his attention. Also, Jesus told us himself, in Scripture to pray the Our Father. Does the Our Father have “in Jesus’ name” in it anywhere? No.
Second of all, “Most Protestants”? You mean “Most Protestants” that you happen to meet, right? Because I can tell you that Anglicans, Presbyterians and other mainline Protestants don’t have any problem whatsoever with “Trinitarian form”, nor do they make arguments like what you are saying. In addition to that, there are many Baptists, Evangelicals etc who pray almost exclusively to “Father God” or “The Holy Spirit” and may not be making a point of praying in Jesus’ name. It sounds like you are meeting some special select group of Protestants who have an issue with this; it is not something all Protestants or even most Protestants worry about.
Third of all, Catholics often pray “In Jesus’ Name”. At every Mass we say a prayer called the Collect which ends with something like “Through Jesus Christ, our Lord, who lives and reigns with you and the Holy Spirit, forever, Amen.” This is praying “in Jesus’ Name” and is done at every single Mass. Catholics also often pray personally in Jesus’ Name based on that Scripture verse you cited. My own personal prayer usually goes like this: “Dear God, I pray for XYZ, in Jesus’ Name I humbly pray. Thank you. Amen.” So this idea that Catholics don’t pray “In Jesus’ Name” is bunk. Obviously the person claiming this has never been to a Catholic Mass and doesn’t have a clue.
Although I personally like to say “In Jesus’ Name” when I pray, I don’t say it every single time (for example, when I am reciting the Our Father) and Celtic Warlord has a good point about praying with loving intent and in the attitude of Jesus being pretty much the same as “in Jesus’ name”.